Search a number
-
+
31004340 = 22353179211
BaseRepresentation
bin111011001000…
…1011010110100
32011100011221220
41312101122310
530414114330
63024310340
7524350443
oct166213264
964304856
1031004340
1116557024
12a4723b0
136567183
144190d5a
152ac6710
hex1d916b4

31004340 has 96 divisors (see below), whose sum is σ = 91176960. Its totient is φ = 7862400.

The previous prime is 31004321. The next prime is 31004353. The reversal of 31004340 is 4340013.

It is a super-2 number, since 2×310043402 = 1922538197671200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146835 + ... + 147045.

It is an arithmetic number, because the mean of its divisors is an integer number (949760).

Almost surely, 231004340 is an apocalyptic number.

31004340 is a gapful number since it is divisible by the number (30) 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 31004340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45588480).

31004340 is an abundant number, since it is smaller than the sum of its proper divisors (60172620).

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

31004340 is a wasteful number, since it uses less digits than its factorization.

31004340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 31004340 is about 5568.1540926954. The cubic root of 31004340 is about 314.1527243314.

Adding to 31004340 its reverse (4340013), we get a palindrome (35344353).

The spelling of 31004340 in words is "thirty-one million, four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 79 93 124 155 158 186 211 237 310 316 372 395 422 465 474 620 633 790 844 930 948 1055 1185 1266 1580 1860 2110 2370 2449 2532 3165 4220 4740 4898 6330 6541 7347 9796 12245 12660 13082 14694 16669 19623 24490 26164 29388 32705 33338 36735 39246 48980 50007 65410 66676 73470 78492 83345 98115 100014 130820 146940 166690 196230 200028 250035 333380 392460 500070 516739 1000140 1033478 1550217 2066956 2583695 3100434 5167390 6200868 7751085 10334780 15502170 31004340