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414404037 = 32448310271
BaseRepresentation
bin11000101100110…
…100110111000101
31001212202220110200
4120230310313011
51322041412122
6105042041113
713161243015
oct3054646705
91055686420
10414404037
111a2a13983
12b6949199
1367b158b8
143d073c45
15265ab5ac
hex18b34dc5

414404037 has 12 divisors (see below), whose sum is σ = 598775424. Its totient is φ = 276180840.

The previous prime is 414404017. The next prime is 414404051. The reversal of 414404037 is 730404414.

It is not a de Polignac number, because 414404037 - 210 = 414403013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 414404037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414404017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35212 + ... + 45482.

It is an arithmetic number, because the mean of its divisors is an integer number (49897952).

Almost surely, 2414404037 is an apocalyptic number.

It is an amenable number.

414404037 is a deficient number, since it is larger than the sum of its proper divisors (184371387).

414404037 is a wasteful number, since it uses less digits than its factorization.

414404037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14760 (or 14757 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 414404037 is about 20356.9161957306. The cubic root of 414404037 is about 745.5463685707.

The spelling of 414404037 in words is "four hundred fourteen million, four hundred four thousand, thirty-seven".

Divisors: 1 3 9 4483 10271 13449 30813 40347 92439 46044893 138134679 414404037