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3082464960 = 263519116811
BaseRepresentation
bin1011011110111010…
…1010111011000000
321221211012102222220
42313232222323000
522303102334320
61225511531040
7136246343211
oct26756527300
97854172886
103082464960
111341a75603
12720389a80
133a17c8883
14213551408
15130932e40
hexb7baaec0

3082464960 has 112 divisors (see below), whose sum is σ = 9838651392. Its totient is φ = 817638400.

The previous prime is 3082464949. The next prime is 3082464961. The reversal of 3082464960 is 694642803.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3082464961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174955 + ... + 191765.

Almost surely, 23082464960 is an apocalyptic number.

3082464960 is a gapful number since it is divisible by the number (30) 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 3082464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919325696).

3082464960 is an abundant number, since it is smaller than the sum of its proper divisors (6756186432).

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

3082464960 is a wasteful number, since it uses less digits than its factorization.

3082464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17022 (or 17012 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 3082464960 is about 55519.9510086239. The cubic root of 3082464960 is about 1455.3453060297.

The spelling of 3082464960 in words is "three billion, eighty-two million, four hundred sixty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 191 192 240 320 382 480 573 764 955 960 1146 1528 1910 2292 2865 3056 3820 4584 5730 6112 7640 9168 11460 12224 15280 16811 18336 22920 30560 33622 36672 45840 50433 61120 67244 84055 91680 100866 134488 168110 183360 201732 252165 268976 336220 403464 504330 537952 672440 806928 1008660 1075904 1344880 1613856 2017320 2689760 3210901 3227712 4034640 5379520 6421802 8069280 9632703 12843604 16054505 16138560 19265406 25687208 32109010 38530812 48163515 51374416 64218020 77061624 96327030 102748832 128436040 154123248 192654060 205497664 256872080 308246496 385308120 513744160 616492992 770616240 1027488320 1541232480 3082464960