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629917134 = 237115212617
BaseRepresentation
bin100101100010111…
…100010111001110
31121220022002212020
4211202330113032
52242224322014
6142301151010
721416131050
oct4542742716
91556262766
10629917134
112a3632080
12156b5b466
13a0671c42
145d9338d0
153a47c1a9
hex258bc5ce

629917134 has 64 divisors (see below), whose sum is σ = 1574318592. Its totient is φ = 163238400.

The previous prime is 629917109. The next prime is 629917139. The reversal of 629917134 is 431719926.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (629917139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239394 + ... + 242010.

It is an arithmetic number, because the mean of its divisors is an integer number (24598728).

Almost surely, 2629917134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 629917134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787159296).

629917134 is an abundant number, since it is smaller than the sum of its proper divisors (944401458).

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

629917134 is a wasteful number, since it uses less digits than its factorization.

629917134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161.

The product of its digits is 81648, while the sum is 42.

The square root of 629917134 is about 25098.1500115048. The cubic root of 629917134 is about 857.2243004120.

It can be divided in two parts, 62991 and 7134, that added together give a triangular number (70125 = T374).

The spelling of 629917134 in words is "six hundred twenty-nine million, nine hundred seventeen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 521 1042 1563 2617 3126 3647 5234 5731 7294 7851 10941 11462 15702 17193 18319 21882 28787 34386 36638 40117 54957 57574 80234 86361 109914 120351 172722 201509 240702 403018 604527 1209054 1363457 2726914 4090371 8180742 9544199 14998027 19088398 28632597 29996054 44994081 57265194 89988162 104986189 209972378 314958567 629917134