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6328880424 = 2332298934057
BaseRepresentation
bin1011110010011101…
…10000110100101000
3121100001220102210200
411321032300310220
5100430143133144
62524001512200
7312556411266
oct57116606450
917301812720
106328880424
112758540599
121287642660
1379b269079
1444077d436
1527094dc69
hex1793b0d28

6328880424 has 96 divisors (see below), whose sum is σ = 17931537000. Its totient is φ = 2013935616.

The previous prime is 6328880419. The next prime is 6328880443. The reversal of 6328880424 is 4240888236.

6328880424 is a `hidden beast` number, since 632 + 8 + 8 + 8 + 0 + 4 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5584572900 + 744307524 = 74730^2 + 27282^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6328880424.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168804 + ... + 202860.

Almost surely, 26328880424 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 6328880424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8965768500).

6328880424 is an abundant number, since it is smaller than the sum of its proper divisors (11602656576).

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

6328880424 is a wasteful number, since it uses less digits than its factorization.

6328880424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34187 (or 34180 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 6328880424 is about 79554.2608789749. The cubic root of 6328880424 is about 1849.7326542332.

The spelling of 6328880424 in words is "six billion, three hundred twenty-eight million, eight hundred eighty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 89 116 174 178 232 261 267 348 356 522 534 696 712 801 1044 1068 1602 2088 2136 2581 3204 5162 6408 7743 10324 15486 20648 23229 30972 34057 46458 61944 68114 92916 102171 136228 185832 204342 272456 306513 408684 613026 817368 987653 1226052 1975306 2452104 2962959 3031073 3950612 5925918 6062146 7901224 8888877 9093219 11851836 12124292 17777754 18186438 23703672 24248584 27279657 35555508 36372876 54559314 71111016 72745752 87901117 109118628 175802234 218237256 263703351 351604468 527406702 703208936 791110053 1054813404 1582220106 2109626808 3164440212 6328880424