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331406336 = 210378747
BaseRepresentation
bin10011110000001…
…101110000000000
3212002121012000202
4103300031300000
51134320000321
652515104332
711132623142
oct2360156000
9762535022
10331406336
11160085538
1292ba20a8
1353875c31
143202ac92
151e16470b
hex13c0dc00

331406336 has 44 divisors (see below), whose sum is σ = 680471928. Its totient is φ = 161206272.

The previous prime is 331406329. The next prime is 331406371. The reversal of 331406336 is 633604133.

It is a junction number, because it is equal to n+sod(n) for n = 331406299 and 331406308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33515 + ... + 42261.

Almost surely, 2331406336 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 331406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340235964).

331406336 is an abundant number, since it is smaller than the sum of its proper divisors (349065592).

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

331406336 is an equidigital number, since it uses as much as digits as its factorization.

331406336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8804 (or 8786 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 29.

The square root of 331406336 is about 18204.5690967955. The cubic root of 331406336 is about 692.0225860515.

The spelling of 331406336 in words is "three hundred thirty-one million, four hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2368 4736 8747 9472 17494 18944 34988 37888 69976 139952 279904 323639 559808 647278 1119616 1294556 2239232 2589112 4478464 5178224 8956928 10356448 20712896 41425792 82851584 165703168 331406336