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168334340 = 225173115971
BaseRepresentation
bin10100000100010…
…01010000000100
3102201202021022012
422002021100010
5321043144330
624411553352
74112550446
oct1202112004
9381667265
10168334340
1187025099
124845b858
1328b4b125
14184dc496
15eba1c95
hexa089404

168334340 has 48 divisors (see below), whose sum is σ = 386394624. Its totient is φ = 61324800.

The previous prime is 168334339. The next prime is 168334367. The reversal of 168334340 is 43433861.

It is a junction number, because it is equal to n+sod(n) for n = 168334297 and 168334306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2555 + ... + 18525.

It is an arithmetic number, because the mean of its divisors is an integer number (8049888).

Almost surely, 2168334340 is an apocalyptic number.

168334340 is a gapful number since it is divisible by the number (10) 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 168334340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193197312).

168334340 is an abundant number, since it is smaller than the sum of its proper divisors (218060284).

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

168334340 is a wasteful number, since it uses less digits than its factorization.

168334340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16028 (or 16026 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 168334340 is about 12974.3724318365. The cubic root of 168334340 is about 552.1506318941.

The spelling of 168334340 in words is "one hundred sixty-eight million, three hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 340 527 620 1054 2108 2635 5270 10540 15971 31942 63884 79855 159710 271507 319420 495101 543014 990202 1086028 1357535 1980404 2475505 2715070 4951010 5430140 8416717 9902020 16833434 33666868 42083585 84167170 168334340