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332406690 = 235721161337
BaseRepresentation
bin10011110100000…
…001111110100010
3212011111000020220
4103310001332202
51140044003230
652552343510
711144260500
oct2364017642
9764430226
10332406690
111606a9080
12933a4b96
1353b36365
143220b670
151e2b0d10
hex13d01fa2

332406690 has 192 divisors, whose sum is σ = 1032041088. Its totient is φ = 67737600.

The previous prime is 332406689. The next prime is 332406709. The reversal of 332406690 is 96604233.

It is a super-2 number, since 2×3324066902 = 220988415113512200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 986202 + ... + 986538.

It is an arithmetic number, because the mean of its divisors is an integer number (5375214).

Almost surely, 2332406690 is an apocalyptic number.

332406690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332406690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516020544).

332406690 is an abundant number, since it is smaller than the sum of its proper divisors (699634398).

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

332406690 is a wasteful number, since it uses less digits than its factorization.

332406690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 332406690 is about 18232.0237494360. The cubic root of 332406690 is about 692.7181794599.

The spelling of 332406690 in words is "three hundred thirty-two million, four hundred six thousand, six hundred ninety".