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339897216 = 2734121589
BaseRepresentation
bin10100010000100…
…110101110000000
3212200120120022210
4110100212232000
51144003202331
653421102120
711265035661
oct2420465600
9780516283
10339897216
1116495489a
12959b7940
1355559919
14331db368
151ec90446
hex14426b80

339897216 has 64 divisors (see below), whose sum is σ = 924915600. Its totient is φ = 110530560.

The previous prime is 339897191. The next prime is 339897223. The reversal of 339897216 is 612798933.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4950 + ... + 26538.

Almost surely, 2339897216 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 339897216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462457800).

339897216 is an abundant number, since it is smaller than the sum of its proper divisors (585018384).

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

339897216 is a wasteful number, since it uses less digits than its factorization.

339897216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21647 (or 21635 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 339897216 is about 18436.3015813910. The cubic root of 339897216 is about 697.8828658160.

The spelling of 339897216 in words is "three hundred thirty-nine million, eight hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 15744 21589 43178 64767 86356 129534 172712 259068 345424 518136 690848 885149 1036272 1381696 1770298 2072544 2655447 2763392 3540596 4145088 5310894 7081192 8290176 10621788 14162384 21243576 28324768 42487152 56649536 84974304 113299072 169948608 339897216