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332656340 = 22517267859
BaseRepresentation
bin10011110100111…
…110111011010100
3212011221200201012
4103310332323110
51140130000330
653001551352
711146350362
oct2364767324
9764850635
10332656340
111608596a5
12934a5558
1353bc2b93
1432274632
151e30ec95
hex13d3eed4

332656340 has 72 divisors (see below), whose sum is σ = 754041120. Its totient is φ = 123222528.

The previous prime is 332656321. The next prime is 332656343. The reversal of 332656340 is 43656233.

It is a super-2 number, since 2×3326563402 = 221320481084391200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332656297 and 332656306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332656343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386831 + ... + 387689.

Almost surely, 2332656340 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 332656340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377020560).

332656340 is an abundant number, since it is smaller than the sum of its proper divisors (421384780).

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

332656340 is a wasteful number, since it uses less digits than its factorization.

332656340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

The square root of 332656340 is about 18238.8689342294. The cubic root of 332656340 is about 692.8915552499.

The spelling of 332656340 in words is "three hundred thirty-two million, six hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 67 68 85 134 170 268 289 335 340 578 670 859 1139 1156 1340 1445 1718 2278 2890 3436 4295 4556 5695 5780 8590 11390 14603 17180 19363 22780 29206 38726 57553 58412 73015 77452 96815 115106 146030 193630 230212 248251 287765 292060 387260 496502 575530 978401 993004 1151060 1241255 1956802 2482510 3913604 4892005 4965020 9784010 16632817 19568020 33265634 66531268 83164085 166328170 332656340