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331950636 = 22351720089
BaseRepresentation
bin10011110010010…
…010101000101100
3212010121211200000
4103302102220230
51134434410021
652534504300
711140351053
oct2362225054
9763554600
10331950636
11160417476
1293205090
1353a068c4
143212d39a
151e220b26
hex13c92a2c

331950636 has 72 divisors (see below), whose sum is σ = 921407760. Its totient is φ = 104136192.

The previous prime is 331950601. The next prime is 331950649. The reversal of 331950636 is 636059133.

331950636 is a `hidden beast` number, since 3 + 3 + 19 + 5 + 0 + 636 = 666.

It is a super-2 number, since 2×3319506362 = 220382449481608992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 331950636.

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 23 ways as a sum of consecutive naturals, for example, 6480 + ... + 26568.

It is an arithmetic number, because the mean of its divisors is an integer number (12797330).

Almost surely, 2331950636 is an apocalyptic number.

331950636 is a gapful number since it is divisible by the number (36) 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 331950636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460703880).

331950636 is an abundant number, since it is smaller than the sum of its proper divisors (589457124).

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

331950636 is a wasteful number, since it uses less digits than its factorization.

331950636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20125 (or 20111 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 331950636 is about 18219.5125071995. The cubic root of 331950636 is about 692.4012368982.

The spelling of 331950636 in words is "three hundred thirty-one million, nine hundred fifty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1836 2754 4131 5508 8262 16524 20089 40178 60267 80356 120534 180801 241068 341513 361602 542403 683026 723204 1024539 1084806 1366052 1627209 2049078 2169612 3073617 3254418 4098156 4881627 6147234 6508836 9220851 9763254 12294468 18441702 19526508 27662553 36883404 55325106 82987659 110650212 165975318 331950636