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340607664 = 243231411861
BaseRepresentation
bin10100010011010…
…100001010110000
3212201220122212200
4110103110022300
51144143421124
653444223200
711304055155
oct2423241260
9781818780
10340607664
1116529a641
129609ab00
13557480c7
143334422c
151ed80bc9
hex144d42b0

340607664 has 120 divisors (see below), whose sum is σ = 1008518784. Its totient is φ = 107136000.

The previous prime is 340607629. The next prime is 340607677. The reversal of 340607664 is 466706043.

340607664 is a `hidden beast` number, since 3 + 40 + 607 + 6 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182094 + ... + 183954.

Almost surely, 2340607664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340607664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504259392).

340607664 is an abundant number, since it is smaller than the sum of its proper divisors (667911120).

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

340607664 is a wasteful number, since it uses less digits than its factorization.

340607664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 340607664 is about 18455.5591624854. The cubic root of 340607664 is about 698.3687621586.

The spelling of 340607664 in words is "three hundred forty million, six hundred seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 41 48 62 72 82 93 123 124 144 164 186 246 248 279 328 369 372 492 496 558 656 738 744 984 1116 1271 1476 1488 1861 1968 2232 2542 2952 3722 3813 4464 5084 5583 5904 7444 7626 10168 11166 11439 14888 15252 16749 20336 22332 22878 29776 30504 33498 44664 45756 57691 61008 66996 76301 89328 91512 115382 133992 152602 173073 183024 228903 230764 267984 305204 346146 457806 461528 519219 610408 686709 692292 915612 923056 1038438 1220816 1373418 1384584 1831224 2076876 2365331 2746836 2769168 3662448 4153752 4730662 5493672 7095993 8307504 9461324 10987344 14191986 18922648 21287979 28383972 37845296 42575958 56767944 85151916 113535888 170303832 340607664