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3407460816 = 24370988767
BaseRepresentation
bin1100101100011001…
…1011100111010000
322210110201221111110
43023012123213100
523434302221231
61322041413320
7150303640044
oct31306334720
98713657443
103407460816
111499471821
127b119a240
13423c38a06
14244790024
1514e22d046
hexcb19b9d0

3407460816 has 20 divisors (see below), whose sum is σ = 8802607232. Its totient is φ = 1135820256.

The previous prime is 3407460761. The next prime is 3407460827. The reversal of 3407460816 is 6180647043.

3407460816 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 is a super-2 number, since 2×34074608162 = 23221578425150771712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35494336 + ... + 35494431.

Almost surely, 23407460816 is an apocalyptic number.

It is an amenable number.

3407460816 is an abundant number, since it is smaller than the sum of its proper divisors (5395146416).

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

3407460816 is a wasteful number, since it uses less digits than its factorization.

3407460816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70988778 (or 70988772 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 3407460816 is about 58373.4598597685. The cubic root of 3407460816 is about 1504.7936739187.

The spelling of 3407460816 in words is "three billion, four hundred seven million, four hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 70988767 141977534 212966301 283955068 425932602 567910136 851865204 1135820272 1703730408 3407460816