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3398004456 = 2337111838747
BaseRepresentation
bin1100101010001001…
…0110111011101000
322202210221111210220
43022202112323220
523424342120311
61321103010040
7150130363350
oct31242267350
98683844726
103398004456
1114940a3050
127a9b99920
13421ca7732
1424340bb60
1514d4b1206
hexca896ee8

3398004456 has 64 divisors (see below), whose sum is σ = 10591188480. Its totient is φ = 882598080.

The previous prime is 3398004433. The next prime is 3398004461. The reversal of 3398004456 is 6544008933.

3398004456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 917526 + ... + 921221.

It is an arithmetic number, because the mean of its divisors is an integer number (165487320).

Almost surely, 23398004456 is an apocalyptic number.

It is an amenable number.

3398004456 is an abundant number, since it is smaller than the sum of its proper divisors (7193184024).

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

3398004456 is a wasteful number, since it uses less digits than its factorization.

3398004456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838774 (or 1838770 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 3398004456 is about 58292.4047882741. The cubic root of 3398004456 is about 1503.4003534618.

The spelling of 3398004456 in words is "three billion, three hundred ninety-eight million, four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 1838747 3677494 5516241 7354988 11032482 12871229 14709976 20226217 22064964 25742458 38613687 40452434 44129928 51484916 60678651 77227374 80904868 102969832 121357302 141583519 154454748 161809736 242714604 283167038 308909496 424750557 485429208 566334076 849501114 1132668152 1699002228 3398004456