Search a number
-
+
3415400232 = 2331722736877
BaseRepresentation
bin1100101110010010…
…1101111100101000
322211000200022022220
43023210231330220
523443320301412
61322523514040
7150431265036
oct31344557450
98730608286
103415400232
1114a29a4822
127b3988920
134257886aa
14245859556
1514ec9a68c
hexcb92df28

3415400232 has 64 divisors (see below), whose sum is σ = 9080838720. Its totient is φ = 1066748928.

The previous prime is 3415400227. The next prime is 3415400243. The reversal of 3415400232 is 2320045143.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74178 + ... + 111054.

It is an arithmetic number, because the mean of its divisors is an integer number (141888105).

Almost surely, 23415400232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3415400232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4540419360).

3415400232 is an abundant number, since it is smaller than the sum of its proper divisors (5665438488).

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

3415400232 is a wasteful number, since it uses less digits than its factorization.

3415400232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37130 (or 37126 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3415400232 is about 58441.4256499617. The cubic root of 3415400232 is about 1505.9614952175.

Adding to 3415400232 its reverse (2320045143), we get a palindrome (5735445375).

The spelling of 3415400232 in words is "three billion, four hundred fifteen million, four hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 227 408 454 681 908 1362 1816 2724 3859 5448 7718 11577 15436 23154 30872 36877 46308 73754 92616 110631 147508 221262 295016 442524 626909 885048 1253818 1880727 2507636 3761454 5015272 7522908 8371079 15045816 16742158 25113237 33484316 50226474 66968632 100452948 142308343 200905896 284616686 426925029 569233372 853850058 1138466744 1707700116 3415400232