Search a number
-
+
3161421312 = 29372910139
BaseRepresentation
bin1011110001101111…
…0111011000000000
322011022202211202020
42330123313120000
522433310440222
61241412121440
7141225431520
oct27433673000
98138684666
103161421312
1113825a3695
12742906280
133b4c81bca
1421dc25680
1513782c65c
hexbc6f7600

3161421312 has 160 divisors (see below), whose sum is σ = 9958291200. Its totient is φ = 872030208.

The previous prime is 3161421281. The next prime is 3161421313. The reversal of 3161421312 is 2131241613.

It is a happy number.

3161421312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3161421313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306739 + ... + 316877.

It is an arithmetic number, because the mean of its divisors is an integer number (62239320).

Almost surely, 23161421312 is an apocalyptic number.

3161421312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3161421312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979145600).

3161421312 is an abundant number, since it is smaller than the sum of its proper divisors (6796869888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3161421312 is a wasteful number, since it uses less digits than its factorization.

3161421312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10196 (or 10180 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 3161421312 is about 56226.5178719081. The cubic root of 3161421312 is about 1467.6667617906. Note that the first 3 decimals are identical.

Adding to 3161421312 its reverse (2131241613), we get a palindrome (5292662925).

The spelling of 3161421312 in words is "three billion, one hundred sixty-one million, four hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 348 384 406 448 464 512 609 672 696 768 812 896 928 1218 1344 1392 1536 1624 1792 1856 2436 2688 2784 3248 3584 3712 4872 5376 5568 6496 7424 9744 10139 10752 11136 12992 14848 19488 20278 22272 25984 30417 38976 40556 44544 51968 60834 70973 77952 81112 103936 121668 141946 155904 162224 212919 243336 283892 294031 311808 324448 425838 486672 567784 588062 648896 851676 882093 973344 1135568 1176124 1297792 1703352 1764186 1946688 2058217 2271136 2352248 2595584 3406704 3528372 3893376 4116434 4542272 4704496 5191168 6174651 6813408 7056744 7786752 8232868 9084544 9408992 12349302 13626816 14113488 15573504 16465736 18169088 18817984 24698604 27253632 28226976 32931472 36338176 37635968 49397208 54507264 56453952 65862944 75271936 98794416 109014528 112907904 131725888 150543872 197588832 225815808 263451776 395177664 451631616 526903552 790355328 1053807104 1580710656 3161421312