Search a number
-
+
374240672 = 2513899617
BaseRepresentation
bin10110010011100…
…111010110100000
3222002012101200122
4112103213112200
51231301200142
6101045135412
712162664451
oct2623472640
9862171618
10374240672
11182281613
12a53ba568
135c6c28b0
14379bb128
1522cc61d2
hex164e75a0

374240672 has 24 divisors (see below), whose sum is σ = 793463076. Its totient is φ = 172726272.

The previous prime is 374240651. The next prime is 374240677. The reversal of 374240672 is 276042473.

It can be written as a sum of positive squares in 2 ways, for example, as 371564176 + 2676496 = 19276^2 + 1636^2 .

It is a super-3 number, since 3×3742406723 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (374240677) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 449393 + ... + 450224.

Almost surely, 2374240672 is an apocalyptic number.

374240672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

374240672 is an abundant number, since it is smaller than the sum of its proper divisors (419222404).

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

374240672 is a wasteful number, since it uses less digits than its factorization.

374240672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899640 (or 899632 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 35.

The square root of 374240672 is about 19345.3010315167. The cubic root of 374240672 is about 720.6377271588.

The spelling of 374240672 in words is "three hundred seventy-four million, two hundred forty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 899617 1799234 3598468 7196936 11695021 14393872 23390042 28787744 46780084 93560168 187120336 374240672