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3399457024 = 28293114771
BaseRepresentation
bin1100101010011111…
…1001100100000000
322202220200022100201
43022213321210000
523430230111044
61321154054544
7150145623265
oct31247714400
98686608321
103399457024
1114949a5417
127aa57a454
13422395942
142436a926c
1514d69b7d4
hexca9f9900

3399457024 has 72 divisors (see below), whose sum is σ = 7246552320. Its totient is φ = 1588070400.

The previous prime is 3399457021. The next prime is 3399457027. The reversal of 3399457024 is 4207549933.

It is an interprime number because it is at equal distance from previous prime (3399457021) and next prime (3399457027).

It is not an unprimeable number, because it can be changed into a prime (3399457021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222759 + ... + 237529.

It is an arithmetic number, because the mean of its divisors is an integer number (100646560).

Almost surely, 23399457024 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 3399457024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623276160).

3399457024 is an abundant number, since it is smaller than the sum of its proper divisors (3847095296).

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

3399457024 is a wasteful number, since it uses less digits than its factorization.

3399457024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14847 (or 14833 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

The square root of 3399457024 is about 58304.8627817612. The cubic root of 3399457024 is about 1503.6145458575.

The spelling of 3399457024 in words is "three billion, three hundred ninety-nine million, four hundred fifty-seven thousand, twenty-four".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 128 232 248 256 464 496 899 928 992 1798 1856 1984 3596 3712 3968 7192 7424 7936 14384 14771 28768 29542 57536 59084 115072 118168 230144 236336 428359 457901 472672 856718 915802 945344 1713436 1831604 1890688 3426872 3663208 3781376 6853744 7326416 13279129 13707488 14652832 26558258 27414976 29305664 53116516 54829952 58611328 106233032 109659904 117222656 212466064 424932128 849864256 1699728512 3399457024