Search a number
-
+
3107455104 = 273132712297
BaseRepresentation
bin1011100100111000…
…0000000010000000
322000120020002000210
42321032000002000
522331002030404
61232203314120
7140001634605
oct27116000200
98016202023
103107455104
111355094016
1272881b940
133a6a38440
142169b86ac
15132c1c689
hexb9380080

3107455104 has 128 divisors (see below), whose sum is σ = 8925799680. Its totient is φ = 952197120.

The previous prime is 3107455069. The next prime is 3107455121. The reversal of 3107455104 is 4015547013.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1351684 + ... + 1353980.

It is an arithmetic number, because the mean of its divisors is an integer number (69732810).

Almost surely, 23107455104 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 3107455104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4462899840).

3107455104 is an abundant number, since it is smaller than the sum of its proper divisors (5818344576).

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

3107455104 is a wasteful number, since it uses less digits than its factorization.

3107455104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 3107455104 is about 55744.5522360706. The cubic root of 3107455104 is about 1459.2676479680.

The spelling of 3107455104 in words is "three billion, one hundred seven million, four hundred fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 271 312 384 416 542 624 813 832 1084 1248 1626 1664 2168 2297 2496 3252 3523 4336 4594 4992 6504 6891 7046 8672 9188 10569 13008 13782 14092 17344 18376 21138 26016 27564 28184 29861 34688 36752 42276 52032 55128 56368 59722 73504 84552 89583 104064 110256 112736 119444 147008 169104 179166 220512 225472 238888 294016 338208 358332 441024 450944 477776 622487 676416 716664 882048 955552 1244974 1352832 1433328 1867461 1911104 2489948 2866656 3734922 3822208 4979896 5733312 7469844 8092331 9959792 11466624 14939688 16184662 19919584 24276993 29879376 32369324 39839168 48553986 59758752 64738648 79678336 97107972 119517504 129477296 194215944 239035008 258954592 388431888 517909184 776863776 1035818368 1553727552 3107455104