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334442496 = 2123171601
BaseRepresentation
bin10011111011110…
…011000000000000
3212022022102212010
4103323303000000
51141104124441
653104132520
711200500003
oct2373630000
9768272763
10334442496
11161869663
1294007140
1354399b8b
14325bb53a
151e564116
hex13ef3000

334442496 has 104 divisors (see below), whose sum is σ = 944782704. Its totient is φ = 104857600.

The previous prime is 334442491. The next prime is 334442531. The reversal of 334442496 is 694244433.

It is a happy number.

It is a super-2 number, since 2×3344424962 = 223703566261420032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334442491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208096 + ... + 209696.

Almost surely, 2334442496 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 334442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472391352).

334442496 is an abundant number, since it is smaller than the sum of its proper divisors (610340208).

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

334442496 is a wasteful number, since it uses less digits than its factorization.

334442496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1623 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The square root of 334442496 is about 18287.7690274128. The cubic root of 334442496 is about 694.1294733620.

The spelling of 334442496 in words is "three hundred thirty-four million, four hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1601 1632 2048 2176 3072 3202 3264 4096 4352 4803 6144 6404 6528 8704 9606 12288 12808 13056 17408 19212 25616 26112 27217 34816 38424 51232 52224 54434 69632 76848 81651 102464 104448 108868 153696 163302 204928 208896 217736 307392 326604 409856 435472 614784 653208 819712 870944 1229568 1306416 1639424 1741888 2459136 2612832 3278848 3483776 4918272 5225664 6557696 6967552 9836544 10451328 13935104 19673088 20902656 27870208 41805312 55740416 83610624 111480832 167221248 334442496