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3310100096 = 2743619859
BaseRepresentation
bin1100010101001100…
…0001111010000000
322112200112111200212
43011103001322000
523234341200341
61304242533252
7145012246412
oct30523017200
98480474625
103310100096
111449513216
12784667228
13409a0a614
142358889b2
151458ea5eb
hexc54c1e80

3310100096 has 64 divisors (see below), whose sum is σ = 6859010400. Its totient is φ = 1589898240.

The previous prime is 3310100089. The next prime is 3310100111. The reversal of 3310100096 is 6900010133.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 330815 + ... + 340673.

Almost surely, 23310100096 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 3310100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429505200).

3310100096 is an abundant number, since it is smaller than the sum of its proper divisors (3548910304).

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

3310100096 is an equidigital number, since it uses as much as digits as its factorization.

3310100096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9977 (or 9965 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 3310100096 is about 57533.4693548025. The cubic root of 3310100096 is about 1490.3229028567.

The spelling of 3310100096 in words is "three billion, three hundred ten million, one hundred thousand, ninety-six".

Divisors: 1 2 4 8 16 32 43 61 64 86 122 128 172 244 344 488 688 976 1376 1952 2623 2752 3904 5246 5504 7808 9859 10492 19718 20984 39436 41968 78872 83936 157744 167872 315488 335744 423937 601399 630976 847874 1202798 1261952 1695748 2405596 3391496 4811192 6782992 9622384 13565984 19244768 25860157 27131968 38489536 51720314 54263936 76979072 103440628 206881256 413762512 827525024 1655050048 3310100096