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374838912 = 27327234347
BaseRepresentation
bin10110010101111…
…001011010000000
3222010022210022200
4112111321122000
51231424321122
6101110033200
712201035550
oct2625713200
9863283280
10374838912
11182650028
12a5648800
135c871c96
1437ad5160
1522d935ac
hex16579680

374838912 has 384 divisors, whose sum is σ = 1344245760. Its totient is φ = 97929216.

The previous prime is 374838911. The next prime is 374838917. The reversal of 374838912 is 219838473.

374838912 = T328 + T329 + ... + T1316.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (374838911) 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 47 ways as a sum of consecutive naturals, for example, 7975273 + ... + 7975319.

It is an arithmetic number, because the mean of its divisors is an integer number (3500640).

Almost surely, 2374838912 is an apocalyptic number.

374838912 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 374838912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672122880).

374838912 is an abundant number, since it is smaller than the sum of its proper divisors (969406848).

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

374838912 is a wasteful number, since it uses less digits than its factorization.

374838912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 374838912 is about 19360.7570099932. The cubic root of 374838912 is about 721.0215129876.

The spelling of 374838912 in words is "three hundred seventy-four million, eight hundred thirty-eight thousand, nine hundred twelve".