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34311501312 = 293112030747
BaseRepresentation
bin11111111101000111…
…111111011000000000
310021120020010212021220
4133331013333120000
51030232221020222
623432410315040
72323161643344
oct377507773000
9107506125256
1034311501312
1113607a47860
126796a28a80
13330a6b05ca
141936cc7624
15d5c3d0b5c
hex7fd1ff600

34311501312 has 80 divisors (see below), whose sum is σ = 99717849792. Its totient is φ = 10397419520.

The previous prime is 34311501311. The next prime is 34311501317. The reversal of 34311501312 is 21310511343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34311501311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 998478 + ... + 1032269.

Almost surely, 234311501312 is an apocalyptic number.

34311501312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34311501312 is an abundant number, since it is smaller than the sum of its proper divisors (65406348480).

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

34311501312 is a wasteful number, since it uses less digits than its factorization.

34311501312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030779 (or 2030763 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 34311501312 in words is "thirty-four billion, three hundred eleven million, five hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 16896 2030747 4061494 6092241 8122988 12184482 16245976 22338217 24368964 32491952 44676434 48737928 64983904 67014651 89352868 97475856 129967808 134029302 178705736 194951712 259935616 268058604 357411472 389903424 519871232 536117208 714822944 779806848 1039742464 1072234416 1429645888 1559613696 2144468832 2859291776 3119227392 4288937664 5718583552 8577875328 11437167104 17155750656 34311501312