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3130722432 = 27323178573
BaseRepresentation
bin1011101010011011…
…0000100010000000
322002012000011210200
42322212300202000
522402431104212
61234354125200
7140403462435
oct27246604200
98065004720
103130722432
111367236112
12734580800
133ab7c3aa6
14219b13b8c
15134cb66dc
hexba9b0880

3130722432 has 96 divisors (see below), whose sum is σ = 9038453580. Its totient is φ = 1040160768.

The previous prime is 3130722407. The next prime is 3130722443. The reversal of 3130722432 is 2342270313.

It can be written as a sum of positive squares in 2 ways, for example, as 2734871616 + 395850816 = 52296^2 + 19896^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3130722396 and 3130722405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 360898 + ... + 369470.

Almost surely, 23130722432 is an apocalyptic number.

3130722432 is a gapful number since it is divisible by the number (32) 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 3130722432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519226790).

3130722432 is an abundant number, since it is smaller than the sum of its proper divisors (5907731148).

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

3130722432 is a wasteful number, since it uses less digits than its factorization.

3130722432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8910 (or 8895 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3130722432 is about 55952.8590154248. The cubic root of 3130722432 is about 1462.9007245549.

Adding to 3130722432 its reverse (2342270313), we get a palindrome (5472992745).

The spelling of 3130722432 in words is "three billion, one hundred thirty million, seven hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 317 384 576 634 951 1152 1268 1902 2536 2853 3804 5072 5706 7608 8573 10144 11412 15216 17146 20288 22824 25719 30432 34292 40576 45648 51438 60864 68584 77157 91296 102876 121728 137168 154314 182592 205752 274336 308628 365184 411504 548672 617256 823008 1097344 1234512 1646016 2469024 2717641 3292032 4938048 5435282 8152923 9876096 10870564 16305846 21741128 24458769 32611692 43482256 48917538 65223384 86964512 97835076 130446768 173929024 195670152 260893536 347858048 391340304 521787072 782680608 1043574144 1565361216 3130722432