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3140310992 = 24713173439
BaseRepresentation
bin1011101100101101…
…0101011111010000
322002212001022211112
42323023111133100
522412404422432
61235335432452
7140551126430
oct27313253720
98085038745
103140310992
111371695145
12737825728
133b07a02b0
1421b0cc2c0
15135a5c7b2
hexbb2d57d0

3140310992 has 160 divisors (see below), whose sum is σ = 7974489600. Its totient is φ = 1166579712.

The previous prime is 3140310983. The next prime is 3140310997. The reversal of 3140310992 is 2990130413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3140310997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7153109 + ... + 7153547.

It is an arithmetic number, because the mean of its divisors is an integer number (49840560).

Almost surely, 23140310992 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 3140310992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3987244800).

3140310992 is an abundant number, since it is smaller than the sum of its proper divisors (4834178608).

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

3140310992 is a wasteful number, since it uses less digits than its factorization.

3140310992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 3140310992 is about 56038.4777808962. The cubic root of 3140310992 is about 1464.3926927902.

The spelling of 3140310992 in words is "three billion, one hundred forty million, three hundred ten thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 34 52 56 68 91 104 112 119 136 182 208 221 238 272 289 364 439 442 476 578 728 878 884 952 1156 1456 1547 1756 1768 1904 2023 2312 3073 3094 3512 3536 3757 4046 4624 4913 5707 6146 6188 7024 7463 7514 8092 9826 11414 12292 12376 14926 15028 16184 19652 22828 24584 24752 26299 29852 30056 32368 34391 39304 39949 45656 49168 52241 52598 59704 60112 63869 68782 78608 79898 91312 97019 104482 105196 119408 126871 127738 137564 159796 194038 208964 210392 253742 255476 275128 319592 388076 417928 420784 447083 507484 510952 550256 639184 679133 776152 835856 888097 894166 1014968 1021904 1358266 1552304 1649323 1776194 1788332 2029936 2156807 2716532 3298646 3552388 3576664 4313614 5433064 6597292 7104776 7153328 8627228 10866128 11545261 13194584 14209552 15097649 17254456 23090522 26389168 28038491 30195298 34508912 46181044 56076982 60390596 92362088 112153964 120781192 184724176 196269437 224307928 241562384 392538874 448615856 785077748 1570155496 3140310992