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3457910416 = 246122412
BaseRepresentation
bin1100111000011011…
…1000011010010000
322220222200001100011
43032012320122100
524040211113131
61331043004304
7151455516322
oct31606703220
98828601304
103457910416
11151499a304
12806069694
1343152094c
1424b363612
151538960b1
hexce1b8690

3457910416 has 45 divisors (see below), whose sum is σ = 6839713179. Its totient is φ = 1693555200.

The previous prime is 3457910359. The next prime is 3457910431. The reversal of 3457910416 is 6140197543.

The square root of 3457910416 is 58804.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 384316816 + 3073593600 = 19604^2 + 55440^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14348056 + ... + 14348296.

Almost surely, 23457910416 is an apocalyptic number.

3457910416 is the 58804-th square number.

It is an amenable number.

3457910416 is a deficient number, since it is larger than the sum of its proper divisors (3381802763).

3457910416 is an frugal number, since it uses more digits than its factorization.

3457910416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The cubic root of 3457910416 is about 1512.1837934338.

The spelling of 3457910416 in words is "three billion, four hundred fifty-seven million, nine hundred ten thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 61 122 241 244 482 488 964 976 1928 3721 3856 7442 14701 14884 29402 29768 58081 58804 59536 116162 117608 232324 235216 464648 896761 929296 1793522 3542941 3587044 7085882 7174088 14171764 14348176 28343528 56687056 216119401 432238802 864477604 1728955208 3457910416