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332325084 = 223713319817
BaseRepresentation
bin10011110011101…
…110000011011100
3212011022212022110
4103303232003130
51140033400314
652550514020
711143500540
oct2363560334
9764285273
10332325084
11160652833
1293365910
1353b08180
14321c9a20
151e296a59
hex13cee0dc

332325084 has 96 divisors (see below), whose sum is σ = 985255936. Its totient is φ = 84810240.

The previous prime is 332325079. The next prime is 332325089. The reversal of 332325084 is 480523233.

It is an interprime number because it is at equal distance from previous prime (332325079) and next prime (332325089).

It is a super-2 number, since 2×3323250842 = 220879922911214112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332325089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28944 + ... + 38760.

Almost surely, 2332325084 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 332325084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492627968).

332325084 is an abundant number, since it is smaller than the sum of its proper divisors (652930852).

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

332325084 is a wasteful number, since it uses less digits than its factorization.

332325084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9875 (or 9873 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 332325084 is about 18229.7856268251. The cubic root of 332325084 is about 692.6614872732.

The spelling of 332325084 in words is "three hundred thirty-two million, three hundred twenty-five thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 364 372 403 434 546 651 806 868 1092 1209 1302 1612 2418 2604 2821 4836 5642 8463 9817 11284 16926 19634 29451 33852 39268 58902 68719 117804 127621 137438 206157 255242 274876 304327 382863 412314 510484 608654 765726 824628 893347 912981 1217308 1531452 1786694 1825962 2130289 2680041 3573388 3651924 3956251 4260578 5360082 6390867 7912502 8521156 10720164 11868753 12781734 15825004 23737506 25563468 27693757 47475012 55387514 83081271 110775028 166162542 332325084