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429116310 = 23257681137
BaseRepresentation
bin11001100100111…
…100101110010110
31002220110100220200
4121210330232112
51334323210220
6110325241330
713430266650
oct3144745626
91086410820
10429116310
11200252487
12bb863246
136ab9729c
1440dc36d0
1527a15890
hex1993cb96

429116310 has 48 divisors (see below), whose sum is σ = 1275090336. Its totient is φ = 98083584.

The previous prime is 429116299. The next prime is 429116383. The reversal of 429116310 is 13611924.

429116310 is a `hidden beast` number, since 4 + 29 + 1 + 1 + 631 + 0 = 666.

It is a super-2 number, since 2×4291163102 = 368281615016032200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339939 + ... + 341198.

It is an arithmetic number, because the mean of its divisors is an integer number (26564382).

Almost surely, 2429116310 is an apocalyptic number.

429116310 is an abundant number, since it is smaller than the sum of its proper divisors (845974026).

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

429116310 is a wasteful number, since it uses less digits than its factorization.

429116310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681157 (or 681154 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 429116310 is about 20715.1227367834. The cubic root of 429116310 is about 754.2668262254.

The spelling of 429116310 in words is "four hundred twenty-nine million, one hundred sixteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 681137 1362274 2043411 3405685 4086822 4767959 6130233 6811370 9535918 10217055 12260466 14303877 20434110 23839795 28607754 30651165 42911631 47679590 61302330 71519385 85823262 143038770 214558155 429116310