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166834368 = 2632289643
BaseRepresentation
bin10011111000110…
…11000011000000
3102121221001201200
421330123003000
5320202144433
624315501200
74064032401
oct1174330300
9377831650
10166834368
11861a0148
1247a57800
132874447c
141822b9a8
15e9a7613
hex9f1b0c0

166834368 has 42 divisors (see below), whose sum is σ = 478202244. Its totient is φ = 55611264.

The previous prime is 166834351. The next prime is 166834373. The reversal of 166834368 is 863438661.

166834368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×1668343684 (a number of 34 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 144246 + ... + 145397.

Almost surely, 2166834368 is an apocalyptic number.

166834368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

166834368 is an abundant number, since it is smaller than the sum of its proper divisors (311367876).

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

166834368 is a wasteful number, since it uses less digits than its factorization.

166834368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289661 (or 289648 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 166834368 is about 12916.4378990494. The cubic root of 166834368 is about 550.5057254761.

The spelling of 166834368 in words is "one hundred sixty-six million, eight hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 289643 579286 868929 1158572 1737858 2317144 2606787 3475716 4634288 5213574 6951432 9268576 10427148 13902864 18537152 20854296 27805728 41708592 55611456 83417184 166834368