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429740124 = 223114437349
BaseRepresentation
bin11001100111010…
…101000001011100
31002221122001121220
4121213111001130
51340003140444
6110350453340
713435505442
oct3147250134
91087561556
10429740124
11200639130
12bbb04250
136b0551c8
1441106b92
1527ada619
hex199d505c

429740124 has 48 divisors (see below), whose sum is σ = 1096502400. Its totient is φ = 129912640.

The previous prime is 429740117. The next prime is 429740177. The reversal of 429740124 is 421047924.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54802 + ... + 62150.

It is an arithmetic number, because the mean of its divisors is an integer number (22843800).

Almost surely, 2429740124 is an apocalyptic number.

429740124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

429740124 is an abundant number, since it is smaller than the sum of its proper divisors (666762276).

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

429740124 is a wasteful number, since it uses less digits than its factorization.

429740124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7810 (or 7808 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 429740124 is about 20730.1742394993. The cubic root of 429740124 is about 754.6321462849.

The spelling of 429740124 in words is "four hundred twenty-nine million, seven hundred forty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 443 886 1329 1772 2658 4873 5316 7349 9746 14619 14698 19492 22047 29238 29396 44094 58476 80839 88188 161678 242517 323356 485034 970068 3255607 6511214 9766821 13022428 19533642 35811677 39067284 71623354 107435031 143246708 214870062 429740124