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3301494960 = 243555724697
BaseRepresentation
bin1100010011001000…
…1101000010110000
322112002100022200010
43010302031002300
523230140314320
61303334254520
7144546146511
oct30462150260
98462308603
103301494960
111444676035
127817b7440
13407cb691a
14234688a08
15144c9aae0
hexc4c8d0b0

3301494960 has 80 divisors (see below), whose sum is σ = 10253424096. Its totient is φ = 878782464.

The previous prime is 3301494943. The next prime is 3301494971. The reversal of 3301494960 is 694941033.

It is a tau number, because it is divible by the number of its divisors (80).

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, 121332 + ... + 146028.

Almost surely, 23301494960 is an apocalyptic number.

3301494960 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 3301494960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5126712048).

3301494960 is an abundant number, since it is smaller than the sum of its proper divisors (6951929136).

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

3301494960 is a wasteful number, since it uses less digits than its factorization.

3301494960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25270 (or 25264 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 3301494960 is about 57458.6369486781. The cubic root of 3301494960 is about 1489.0303376749.

The spelling of 3301494960 in words is "three billion, three hundred one million, four hundred ninety-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 557 1114 1671 2228 2785 3342 4456 5570 6684 8355 8912 11140 13368 16710 22280 24697 26736 33420 44560 49394 66840 74091 98788 123485 133680 148182 197576 246970 296364 370455 395152 493940 592728 740910 987880 1185456 1481820 1975760 2963640 5927280 13756229 27512458 41268687 55024916 68781145 82537374 110049832 137562290 165074748 206343435 220099664 275124580 330149496 412686870 550249160 660298992 825373740 1100498320 1650747480 3301494960