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3093868944 = 2432293123899
BaseRepresentation
bin1011100001101000…
…1011000110010000
321222121122211022200
42320122023012100
522314012301234
61231000203200
7136445311035
oct27032130620
97877584280
103093868944
111348454591
12724169500
133a3c8c4aa
14214c7d38c
15131936d99
hexb868b190

3093868944 has 120 divisors (see below), whose sum is σ = 9246432000. Its totient is φ = 963567360.

The previous prime is 3093868927. The next prime is 3093868957. The reversal of 3093868944 is 4498683903.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117507 + ... + 141405.

It is an arithmetic number, because the mean of its divisors is an integer number (77053600).

Almost surely, 23093868944 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 3093868944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623216000).

3093868944 is an abundant number, since it is smaller than the sum of its proper divisors (6152563056).

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

3093868944 is a wasteful number, since it uses less digits than its factorization.

3093868944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23973 (or 23964 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 3093868944 is about 55622.5578699865. The cubic root of 3093868944 is about 1457.1378443064.

The spelling of 3093868944 in words is "three billion, ninety-three million, eight hundred sixty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 31 36 48 58 62 72 87 93 116 124 144 174 186 232 248 261 279 348 372 464 496 522 558 696 744 899 1044 1116 1392 1488 1798 2088 2232 2697 3596 4176 4464 5394 7192 8091 10788 14384 16182 21576 23899 32364 43152 47798 64728 71697 95596 129456 143394 191192 215091 286788 382384 430182 573576 693071 740869 860364 1147152 1386142 1481738 1720728 2079213 2222607 2772284 2963476 3441456 4158426 4445214 5544568 5926952 6237639 6667821 8316852 8890428 11089136 11853904 12475278 13335642 16633704 17780856 21485201 24950556 26671284 33267408 35561712 42970402 49901112 53342568 64455603 85940804 99802224 106685136 128911206 171881608 193366809 257822412 343763216 386733618 515644824 773467236 1031289648 1546934472 3093868944