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414106768 = 2456345971
BaseRepresentation
bin11000101011101…
…100010010010000
31001212012210200201
4120223230102100
51322002404033
6105031424544
713155564235
oct3053542220
91055183621
10414106768
111a28305a9
12b6825154
1367a404ba
143cdd778c
152654d47d
hex18aec490

414106768 has 20 divisors (see below), whose sum is σ = 803774448. Its totient is φ = 206681120.

The previous prime is 414106751. The next prime is 414106769. The reversal of 414106768 is 867601414.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (414106769) 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, 13978 + ... + 31993.

Almost surely, 2414106768 is an apocalyptic number.

It is an amenable number.

414106768 is a deficient number, since it is larger than the sum of its proper divisors (389667680).

414106768 is a wasteful number, since it uses less digits than its factorization.

414106768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46542 (or 46536 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 414106768 is about 20349.6134607024. The cubic root of 414106768 is about 745.3680556047.

The spelling of 414106768 in words is "four hundred fourteen million, one hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 563 1126 2252 4504 9008 45971 91942 183884 367768 735536 25881673 51763346 103526692 207053384 414106768