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31100328 = 2333767307
BaseRepresentation
bin111011010100…
…0110110101000
32011112001122000
41312220312220
530430202303
63030331000
7525230340
oct166506650
964461560
1031100328
1116612156
12a4b9a60
13659ba7c
1441b7d20
152ae4da3
hex1da8da8

31100328 has 128 divisors (see below), whose sum is σ = 100531200. Its totient is φ = 8724672.

The previous prime is 31100297. The next prime is 31100351. The reversal of 31100328 is 82300113.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 31100328.

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, 101151 + ... + 101457.

It is an arithmetic number, because the mean of its divisors is an integer number (785400).

Almost surely, 231100328 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 31100328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50265600).

31100328 is an abundant number, since it is smaller than the sum of its proper divisors (69430872).

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

31100328 is a wasteful number, since it uses less digits than its factorization.

31100328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 31100328 is about 5576.7668052376. The cubic root of 31100328 is about 314.4765910948.

The spelling of 31100328 in words is "thirty-one million, one hundred thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 67 72 84 108 126 134 168 189 201 216 252 268 307 378 402 469 504 536 603 614 756 804 921 938 1206 1228 1407 1512 1608 1809 1842 1876 2149 2412 2456 2763 2814 3618 3684 3752 4221 4298 4824 5526 5628 6447 7236 7368 8289 8442 8596 11052 11256 12663 12894 14472 16578 16884 17192 19341 20569 22104 25326 25788 33156 33768 38682 41138 50652 51576 58023 61707 66312 77364 82276 101304 116046 123414 143983 154728 164552 185121 232092 246828 287966 370242 431949 464184 493656 555363 575932 740484 863898 1110726 1151864 1295847 1480968 1727796 2221452 2591694 3455592 3887541 4442904 5183388 7775082 10366776 15550164 31100328