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6734342960 = 2452310133613
BaseRepresentation
bin1100100010110010…
…11110101100110000
3122101022212001211122
412101121132230300
5102242442433320
63032124201412
7325611653642
oct62131365460
918338761748
106734342960
1129463a75a4
12137b399268
13834270b27
1447c566892
15296340d25
hex19165eb30

6734342960 has 80 divisors (see below), whose sum is σ = 16358756544. Its totient is φ = 2573362176.

The previous prime is 6734342941. The next prime is 6734342981. The reversal of 6734342960 is 692434376.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1862114 + ... + 1865726.

Almost surely, 26734342960 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 6734342960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8179378272).

6734342960 is an abundant number, since it is smaller than the sum of its proper divisors (9624413584).

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

6734342960 is a wasteful number, since it uses less digits than its factorization.

6734342960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4662 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 44.

The square root of 6734342960 is about 82063.0425953121. The cubic root of 6734342960 is about 1888.4192114097.

The spelling of 6734342960 in words is "six billion, seven hundred thirty-four million, three hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1013 1840 2026 3613 4052 5065 7226 8104 10130 14452 16208 18065 20260 23299 28904 36130 40520 46598 57808 72260 81040 83099 93196 116495 144520 166198 186392 232990 289040 332396 372784 415495 465980 664792 830990 931960 1329584 1661980 1863920 3323960 3659969 6647920 7319938 14639876 18299845 29279752 36599690 58559504 73199380 84179287 146398760 168358574 292797520 336717148 420896435 673434296 841792870 1346868592 1683585740 3367171480 6734342960