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336040704 = 283361797
BaseRepresentation
bin10100000001111…
…001001100000000
3212102022122012000
4110001321030000
51142011300304
653202304000
711220204336
oct2401711400
9772278160
10336040704
1116276039a
1294658000
135480946c
14328b5b56
151e77c939
hex14079300

336040704 has 144 divisors (see below), whose sum is σ = 1011289440. Its totient is φ = 110039040.

The previous prime is 336040703. The next prime is 336040763. The reversal of 336040704 is 407040633.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3360407042 = 225846709489631232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (336040703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421234 + ... + 422030.

Almost surely, 2336040704 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 336040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505644720).

336040704 is an abundant number, since it is smaller than the sum of its proper divisors (675248736).

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

336040704 is an equidigital number, since it uses as much as digits as its factorization.

336040704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 336040704 is about 18331.4130388249. The cubic root of 336040704 is about 695.2334008970.

The spelling of 336040704 in words is "three hundred thirty-six million, forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 256 288 366 384 432 488 549 576 732 768 797 864 976 1098 1152 1464 1594 1647 1728 1952 2196 2304 2391 2928 3188 3294 3456 3904 4392 4782 5856 6376 6588 6912 7173 7808 8784 9564 11712 12752 13176 14346 15616 17568 19128 21519 23424 25504 26352 28692 35136 38256 43038 46848 48617 51008 52704 57384 70272 76512 86076 97234 102016 105408 114768 140544 145851 153024 172152 194468 204032 210816 229536 291702 306048 344304 388936 421632 437553 459072 583404 612096 688608 777872 875106 918144 1166808 1312659 1377216 1555744 1750212 1836288 2333616 2625318 2754432 3111488 3500424 4667232 5250636 5508864 6222976 7000848 9334464 10501272 12445952 14001696 18668928 21002544 28003392 37337856 42005088 56006784 84010176 112013568 168020352 336040704