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3393406968 = 233720839697
BaseRepresentation
bin1100101001000011…
…0100011111111000
322202111021221020120
43022100310133320
523422203010333
61320420253240
7150043324530
oct31220643770
98674257216
103393406968
111491542976
127a8541220
13421057c23
142429724c0
1514cda3db3
hexca4347f8

3393406968 has 64 divisors (see below), whose sum is σ = 9701103360. Its totient is φ = 968979456.

The previous prime is 3393406967. The next prime is 3393406981. The reversal of 3393406968 is 8696043933.

3393406968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3393406968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3393406967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345096 + ... + 354792.

It is an arithmetic number, because the mean of its divisors is an integer number (151579740).

Almost surely, 23393406968 is an apocalyptic number.

It is an amenable number.

3393406968 is an abundant number, since it is smaller than the sum of its proper divisors (6307696392).

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

3393406968 is a wasteful number, since it uses less digits than its factorization.

3393406968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11796 (or 11792 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 51.

The square root of 3393406968 is about 58252.9567318261. The cubic root of 3393406968 is about 1502.7220156548.

The spelling of 3393406968 in words is "three billion, three hundred ninety-three million, four hundred six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2083 4166 6249 8332 9697 12498 14581 16664 19394 24996 29091 29162 38788 43743 49992 58182 58324 67879 77576 87486 116364 116648 135758 174972 203637 232728 271516 349944 407274 543032 814548 1629096 20198851 40397702 60596553 80795404 121193106 141391957 161590808 242386212 282783914 424175871 484772424 565567828 848351742 1131135656 1696703484 3393406968