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429274340 = 225118323509
BaseRepresentation
bin11001100101100…
…011010011100100
31002220202101200122
4121211203103210
51334343234330
6110332501112
713431525455
oct3145432344
91086671618
10429274340
11200350190
12bb91a798
136ac211b1
144102512c
1527a475e5
hex199634e4

429274340 has 48 divisors (see below), whose sum is σ = 995319360. Its totient is φ = 154212480.

The previous prime is 429274319. The next prime is 429274357. The reversal of 429274340 is 43472924.

429274340 = 21652 + 21662 + ... + 22522.

It is a self number, because there is not a number n which added to its sum of digits gives 429274340.

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, 6506 + ... + 30014.

It is an arithmetic number, because the mean of its divisors is an integer number (20735820).

Almost surely, 2429274340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429274340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497659680).

429274340 is an abundant number, since it is smaller than the sum of its proper divisors (566045020).

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

429274340 is a wasteful number, since it uses less digits than its factorization.

429274340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23612 (or 23610 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 429274340 is about 20718.9367487813. The cubic root of 429274340 is about 754.3594057543.

The spelling of 429274340 in words is "four hundred twenty-nine million, two hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 9130 18260 23509 47018 94036 117545 235090 258599 470180 517198 1034396 1292995 1951247 2585990 3902494 5171980 7804988 9756235 19512470 21463717 39024940 42927434 85854868 107318585 214637170 429274340