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134802304 = 2771371163
BaseRepresentation
bin10000000100011…
…10101110000000
3100101122122222221
420002032232000
5234002133204
621213140424
73224541430
oct1002165600
9311578887
10134802304
116a101a6a
123918a714
1321c0a5a0
1413c902c0
15bc7b654
hex808eb80

134802304 has 128 divisors (see below), whose sum is σ = 337236480. Its totient is φ = 52254720.

The previous prime is 134802293. The next prime is 134802313. The reversal of 134802304 is 403208431.

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

It is a super-2 number, since 2×1348023042 = 36343322327416832, which contains 22 as substring.

It is a congruent number.

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, 826927 + ... + 827089.

It is an arithmetic number, because the mean of its divisors is an integer number (2634660).

Almost surely, 2134802304 is an apocalyptic number.

134802304 is a gapful number since it is divisible by the number (14) 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 134802304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168618240).

134802304 is an abundant number, since it is smaller than the sum of its proper divisors (202434176).

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

134802304 is a wasteful number, since it uses less digits than its factorization.

134802304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 134802304 is about 11610.4394404346. The cubic root of 134802304 is about 512.7422502571.

The spelling of 134802304 in words is "one hundred thirty-four million, eight hundred two thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 71 91 104 112 128 142 163 182 208 224 284 326 364 416 448 497 568 652 728 832 896 923 994 1136 1141 1304 1456 1664 1846 1988 2119 2272 2282 2608 2912 3692 3976 4238 4544 4564 5216 5824 6461 7384 7952 8476 9088 9128 10432 11573 11648 12922 14768 14833 15904 16952 18256 20864 23146 25844 29536 29666 31808 33904 36512 46292 51688 59072 59332 63616 67808 73024 81011 92584 103376 118144 118664 135616 146048 150449 162022 185168 206752 237328 271232 300898 324044 370336 413504 474656 601796 648088 740672 827008 949312 1053143 1203592 1296176 1481344 1898624 2106286 2407184 2592352 4212572 4814368 5184704 8425144 9628736 10369408 16850288 19257472 33700576 67401152 134802304