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336680992 = 2523219889
BaseRepresentation
bin10100000100010…
…101100000100000
3212110112011111101
4110010111200200
51142142242432
653224124144
711225512144
oct2404254040
9773464441
10336680992
1116305845a
1294906654
13549a1a2b
1432a01224
151e8574e7
hex14115820

336680992 has 36 divisors (see below), whose sum is σ = 692947710. Its totient is φ = 161013248.

The previous prime is 336680989. The next prime is 336680999. The reversal of 336680992 is 299086633.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 208629136 + 128051856 = 14444^2 + 11316^2 .

It is a super-2 number, since 2×3366809922 = 226708180748208128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (336680999) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6984 + ... + 26872.

Almost surely, 2336680992 is an apocalyptic number.

336680992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336680992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346473855).

336680992 is an abundant number, since it is smaller than the sum of its proper divisors (356266718).

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

336680992 is a wasteful number, since it uses less digits than its factorization.

336680992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19945 (or 19914 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

The square root of 336680992 is about 18348.8689569684. The cubic root of 336680992 is about 695.6746839220.

The spelling of 336680992 in words is "three hundred thirty-six million, six hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 2116 4232 8464 16928 19889 39778 79556 159112 318224 457447 636448 914894 1829788 3659576 7319152 10521281 14638304 21042562 42085124 84170248 168340496 336680992