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2920946304 = 2731931109
BaseRepresentation
bin1010111000011010…
…0001101010000000
321112120021110001110
42232012201222000
521440230240204
61201502003320
7132245430303
oct25606415200
97476243043
102920946304
111269886211
12696276540
133771c5ac3
141d9d08b3a
1512167a889
hexae1a1a80

2920946304 has 128 divisors (see below), whose sum is σ = 8197128000. Its totient is φ = 921572352.

The previous prime is 2920946293. The next prime is 2920946317. The reversal of 2920946304 is 4036490292.

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, 2633302 + ... + 2634410.

Almost surely, 22920946304 is an apocalyptic number.

2920946304 is a gapful number since it is divisible by the number (24) 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 2920946304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098564000).

2920946304 is an abundant number, since it is smaller than the sum of its proper divisors (5276181696).

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

2920946304 is an equidigital number, since it uses as much as digits as its factorization.

2920946304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 2920946304 is about 54045.7797057273. The cubic root of 2920946304 is about 1429.4682855364.

The spelling of 2920946304 in words is "two billion, nine hundred twenty million, nine hundred forty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 361 384 456 608 722 912 1083 1109 1216 1444 1824 2166 2218 2432 2888 3327 3648 4332 4436 5776 6654 6859 7296 8664 8872 11552 13308 13718 17328 17744 20577 21071 23104 26616 27436 34656 35488 41154 42142 46208 53232 54872 63213 69312 70976 82308 84284 106464 109744 126426 138624 141952 164616 168568 212928 219488 252852 329232 337136 400349 425856 438976 505704 658464 674272 800698 877952 1011408 1201047 1316928 1348544 1601396 2022816 2402094 2633856 2697088 3202792 4045632 4804188 6405584 7606631 8091264 9608376 12811168 15213262 19216752 22819893 25622336 30426524 38433504 45639786 51244672 60853048 76867008 91279572 121706096 153734016 182559144 243412192 365118288 486824384 730236576 973648768 1460473152 2920946304