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3413404072 = 231332821193
BaseRepresentation
bin1100101101110100…
…0110100110101000
322210212220220010001
43023131012212220
523442312412242
61322413032344
7150405312241
oct31335064650
98725826101
103413404072
1114a1861001
127b31856b4
13425239c30
14245499cc8
1514ea03eb7
hexcb7469a8

3413404072 has 16 divisors (see below), whose sum is σ = 6892450740. Its totient is φ = 1575417216.

The previous prime is 3413404009. The next prime is 3413404073. The reversal of 3413404072 is 2704043143.

3413404072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2858613156 + 554790916 = 53466^2 + 23554^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3413404072.

It is not an unprimeable number, because it can be changed into a prime (3413404073) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16410493 + ... + 16410700.

Almost surely, 23413404072 is an apocalyptic number.

It is an amenable number.

3413404072 is an abundant number, since it is smaller than the sum of its proper divisors (3479046668).

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

3413404072 is a wasteful number, since it uses less digits than its factorization.

3413404072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32821212 (or 32821208 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 3413404072 is about 58424.3448572596. The cubic root of 3413404072 is about 1505.6680473306.

The spelling of 3413404072 in words is "three billion, four hundred thirteen million, four hundred four thousand, seventy-two".

Divisors: 1 2 4 8 13 26 52 104 32821193 65642386 131284772 262569544 426675509 853351018 1706702036 3413404072