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3357904797 = 321341700001
BaseRepresentation
bin1100100000100101…
…1000111110011101
322200000111020102100
43020021120332131
523334110423142
61313111315313
7146132501622
oct31011307635
98600436370
103357904797
1114734a4635
1279867bb39
134168a7720
1423bd70349
15149bdeb4c
hexc8258f9d

3357904797 has 24 divisors (see below), whose sum is σ = 5350815288. Its totient is φ = 2016000000.

The previous prime is 3357904793. The next prime is 3357904811. The reversal of 3357904797 is 7974097533.

It is a happy number.

3357904797 is a `hidden beast` number, since 33 + 57 + 90 + 479 + 7 = 666.

3357904797 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 59814756 + 3298090041 = 7734^2 + 57429^2 .

It is not a de Polignac number, because 3357904797 - 22 = 3357904793 is a prime.

It is a super-2 number, since 2×33579047972 = 22551049251431222418, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3357904793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345204 + ... + 354797.

It is an arithmetic number, because the mean of its divisors is an integer number (222950637).

Almost surely, 23357904797 is an apocalyptic number.

It is an amenable number.

3357904797 is a deficient number, since it is larger than the sum of its proper divisors (1992910491).

3357904797 is a wasteful number, since it uses less digits than its factorization.

3357904797 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700061 (or 700058 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 54.

The square root of 3357904797 is about 57947.4313235712. The cubic root of 3357904797 is about 1497.4630891411.

The spelling of 3357904797 in words is "three billion, three hundred fifty-seven million, nine hundred four thousand, seven hundred ninety-seven".

Divisors: 1 3 9 13 39 41 117 123 369 533 1599 4797 700001 2100003 6300009 9100013 27300039 28700041 81900117 86100123 258300369 373100533 1119301599 3357904797