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414611934 = 231143146093
BaseRepresentation
bin11000101101100…
…111100111011110
31001220011110122120
4120231213213132
51322120040214
6105050323410
713163100102
oct3055474736
91056143576
10414611934
111a30460a0
12b6a29566
1367b89409
143d0c9902
15265ecea9
hex18b679de

414611934 has 32 divisors (see below), whose sum is σ = 925651584. Its totient is φ = 122717280.

The previous prime is 414611933. The next prime is 414611959. The reversal of 414611934 is 439116414.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 414611895 and 414611904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414611933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70209 + ... + 75884.

It is an arithmetic number, because the mean of its divisors is an integer number (28926612).

Almost surely, 2414611934 is an apocalyptic number.

414611934 is an abundant number, since it is smaller than the sum of its proper divisors (511039650).

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

414611934 is a wasteful number, since it uses less digits than its factorization.

414611934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146152.

The product of its digits is 10368, while the sum is 33.

The square root of 414611934 is about 20362.0218544230. The cubic root of 414611934 is about 745.6710222318.

The spelling of 414611934 in words is "four hundred fourteen million, six hundred eleven thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2838 146093 292186 438279 876558 1607023 3214046 4821069 6281999 9642138 12563998 18845997 37691994 69101989 138203978 207305967 414611934