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334778112 = 2832145303
BaseRepresentation
bin10011111101000…
…100111100000000
3212022221111020100
4103331010330000
51141200344422
653115242400
711203365324
oct2375047400
9768844210
10334778112
11161a78829
1294149400
1354486876
1432667984
151e5cd7ac
hex13f44f00

334778112 has 54 divisors (see below), whose sum is σ = 965254472. Its totient is φ = 111591936.

The previous prime is 334778111. The next prime is 334778123. The reversal of 334778112 is 211877433.

It is a super-2 number, since 2×3347781122 = 224152768548569088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334778111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70348 + ... + 74955.

Almost surely, 2334778112 is an apocalyptic number.

334778112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

334778112 is an abundant number, since it is smaller than the sum of its proper divisors (630476360).

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

334778112 is a wasteful number, since it uses less digits than its factorization.

334778112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145325 (or 145308 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 334778112 is about 18296.9426954341. The cubic root of 334778112 is about 694.3615840909.

The spelling of 334778112 in words is "three hundred thirty-four million, seven hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 145303 290606 435909 581212 871818 1162424 1307727 1743636 2324848 2615454 3487272 4649696 5230908 6974544 9299392 10461816 13949088 18598784 20923632 27898176 37197568 41847264 55796352 83694528 111592704 167389056 334778112