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34327187840 = 2751131157291
BaseRepresentation
bin11111111110000011…
…110101000110000000
310021121022122211011102
4133332003311012000
51030300230002330
623434130433532
72323442165561
oct377603650600
9107538584142
1034327187840
1113615891330
1267a01328a8
133310a1358a
14193900c168
15d5d97d945
hex7fe0f5180

34327187840 has 128 divisors (see below), whose sum is σ = 92412195840. Its totient is φ = 12079872000.

The previous prime is 34327187827. The next prime is 34327187897. The reversal of 34327187840 is 4878172343.

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

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, 139595 + ... + 296885.

It is an arithmetic number, because the mean of its divisors is an integer number (721970280).

Almost surely, 234327187840 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 34327187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46206097920).

34327187840 is an abundant number, since it is smaller than the sum of its proper divisors (58085008000).

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

34327187840 is a wasteful number, since it uses less digits than its factorization.

34327187840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157352 (or 157340 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 47.

The spelling of 34327187840 in words is "thirty-four billion, three hundred twenty-seven million, one hundred eighty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 128 155 160 176 220 248 310 320 341 352 440 496 620 640 682 704 880 992 1240 1364 1408 1705 1760 1984 2480 2728 3410 3520 3968 4960 5456 6820 7040 9920 10912 13640 19840 21824 27280 43648 54560 109120 157291 218240 314582 629164 786455 1258328 1572910 1730201 2516656 3145820 3460402 4876021 5033312 6291640 6920804 8651005 9752042 10066624 12583280 13841608 17302010 19504084 20133248 24380105 25166560 27683216 34604020 39008168 48760210 50333120 53636231 55366432 69208040 78016336 97520420 100666240 107272462 110732864 138416080 156032672 195040840 214544924 221465728 268181155 276832160 312065344 390081680 429089848 536362310 553664320 624130688 780163360 858179696 1072724620 1107328640 1560326720 1716359392 2145449240 3120653440 3432718784 4290898480 6865437568 8581796960 17163593920 34327187840