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2730867384 = 2337971131483
BaseRepresentation
bin1010001011000101…
…1011101010111000
321001022121102210110
42202301123222320
521043100224014
61130551544320
7124446663330
oct24261335270
97038542713
102730867384
11118155a0a3
1264268b0a0
13346a0347b
141bc98a0c0
1510eb30d59
hexa2c5bab8

2730867384 has 128 divisors (see below), whose sum is σ = 7958039040. Its totient is φ = 764854272.

The previous prime is 2730867371. The next prime is 2730867401. The reversal of 2730867384 is 4837680372.

2730867384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1840707 + ... + 1842189.

It is an arithmetic number, because the mean of its divisors is an integer number (62172180).

Almost surely, 22730867384 is an apocalyptic number.

2730867384 is a gapful number since it is divisible by the number (24) 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 2730867384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979019520).

2730867384 is an abundant number, since it is smaller than the sum of its proper divisors (5227171656).

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

2730867384 is a wasteful number, since it uses less digits than its factorization.

2730867384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1709 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 2730867384 is about 52257.7016716197. The cubic root of 2730867384 is about 1397.7629893682.

The spelling of 2730867384 in words is "two billion, seven hundred thirty million, eight hundred sixty-seven thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 97 113 168 194 226 291 339 388 452 582 678 679 776 791 904 1164 1356 1358 1483 1582 2037 2328 2373 2712 2716 2966 3164 4074 4449 4746 5432 5932 6328 8148 8898 9492 10381 10961 11864 16296 17796 18984 20762 21922 31143 32883 35592 41524 43844 62286 65766 76727 83048 87688 124572 131532 143851 153454 167579 230181 249144 263064 287702 306908 335158 431553 460362 502737 575404 613816 670316 863106 920724 1005474 1006957 1150808 1173053 1340632 1726212 1841448 2010948 2013914 2346106 3020871 3452424 3519159 4021896 4027828 4692212 6041742 7038318 8055656 9384424 12083484 14076636 16255163 24166968 28153272 32510326 48765489 65020652 97530978 113786141 130041304 195061956 227572282 341358423 390123912 455144564 682716846 910289128 1365433692 2730867384