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672672384 = 27331511289
BaseRepresentation
bin101000000110000…
…010101010000000
31201212202022001000
4220012002222000
52334201004014
6150425412000
722445422656
oct5006025200
91655668030
10672672384
1131578479a
1216933a000
13a94918c7
14654a2dd6
153e0c5509
hex28182a80

672672384 has 128 divisors (see below), whose sum is σ = 2000016000. Its totient is φ = 222566400.

The previous prime is 672672361. The next prime is 672672401. The reversal of 672672384 is 483276276.

672672384 is a `hidden beast` number, since 6 + 7 + 267 + 2 + 384 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521212 + ... + 522500.

It is an arithmetic number, because the mean of its divisors is an integer number (15625125).

Almost surely, 2672672384 is an apocalyptic number.

672672384 is a gapful number since it is divisible by the number (64) 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 672672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000008000).

672672384 is an abundant number, since it is smaller than the sum of its proper divisors (1327343616).

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

672672384 is a wasteful number, since it uses less digits than its factorization.

672672384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1445 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 672672384 is about 25935.9284391363. The cubic root of 672672384 is about 876.1958653793.

The spelling of 672672384 in words is "six hundred seventy-two million, six hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 151 192 216 288 302 384 432 453 576 604 864 906 1152 1208 1289 1359 1728 1812 2416 2578 2718 3456 3624 3867 4077 4832 5156 5436 7248 7734 8154 9664 10312 10872 11601 14496 15468 16308 19328 20624 21744 23202 28992 30936 32616 34803 41248 43488 46404 57984 61872 65232 69606 82496 86976 92808 123744 130464 139212 164992 173952 185616 194639 247488 260928 278424 371232 389278 494976 521856 556848 583917 742464 778556 1113696 1167834 1484928 1557112 1751751 2227392 2335668 3114224 3503502 4454784 4671336 5255253 6228448 7007004 9342672 10510506 12456896 14014008 18685344 21021012 24913792 28028016 37370688 42042024 56056032 74741376 84084048 112112064 168168096 224224128 336336192 672672384