Search a number
-
+
396664000 = 2653179277
BaseRepresentation
bin10111101001001…
…001110011000000
31000122101121201021
4113221021303000
51303021222000
6103205515224
712554405545
oct2751116300
91018347637
10396664000
111939a7597
12b0a12b14
1364244035
143a976bcc
1524c5511a
hex17a49cc0

396664000 has 112 divisors (see below), whose sum is σ = 991392480. Its totient is φ = 157209600.

The previous prime is 396663997. The next prime is 396664033. The reversal of 396664000 is 466693.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1431862 + ... + 1432138.

Almost surely, 2396664000 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 396664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495696240).

396664000 is an abundant number, since it is smaller than the sum of its proper divisors (594728480).

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

396664000 is a wasteful number, since it uses less digits than its factorization.

396664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 396664000 is about 19916.4253820810. The cubic root of 396664000 is about 734.7522573497.

The spelling of 396664000 in words is "three hundred ninety-six million, six hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 179 200 250 277 320 358 400 500 554 716 800 895 1000 1108 1385 1432 1600 1790 2000 2216 2770 2864 3580 4000 4432 4475 5540 5728 6925 7160 8000 8864 8950 11080 11456 13850 14320 17728 17900 22160 22375 27700 28640 34625 35800 44320 44750 49583 55400 57280 69250 71600 88640 89500 99166 110800 138500 143200 179000 198332 221600 247915 277000 286400 358000 396664 443200 495830 554000 716000 793328 991660 1108000 1239575 1432000 1586656 1983320 2216000 2479150 3173312 3966640 4958300 6197875 7933280 9916600 12395750 15866560 19833200 24791500 39666400 49583000 79332800 99166000 198332000 396664000