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3414635376 = 243711001947
BaseRepresentation
bin1100101110000111…
…0011001101110000
322210222020110010220
43023201303031300
523443121313001
61322455253040
7150421631115
oct31341631560
98728213126
103414635376
1114a2522109
127b367a180
1342557b509
142456da90c
1514eb98c36
hexcb873370

3414635376 has 40 divisors (see below), whose sum is σ = 8945391744. Its totient is φ = 1122179520.

The previous prime is 3414635359. The next prime is 3414635377. The reversal of 3414635376 is 6735364143.

3414635376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34146353762 = 23319469502061322752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414635377) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 497566 + ... + 504381.

Almost surely, 23414635376 is an apocalyptic number.

It is an amenable number.

3414635376 is an abundant number, since it is smaller than the sum of its proper divisors (5530756368).

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

3414635376 is a wasteful number, since it uses less digits than its factorization.

3414635376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002029 (or 1002023 counting only the distinct ones).

The product of its digits is 544320, while the sum is 42.

The square root of 3414635376 is about 58434.8815006927. The cubic root of 3414635376 is about 1505.8490701624.

The spelling of 3414635376 in words is "three billion, four hundred fourteen million, six hundred thirty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 1001947 2003894 3005841 4007788 6011682 8015576 12023364 16031152 24046728 48093456 71138237 142276474 213414711 284552948 426829422 569105896 853658844 1138211792 1707317688 3414635376