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426934200 = 233527119241
BaseRepresentation
bin11001011100100…
…111111110111000
31002202100111121210
4121130213332320
51333243343300
6110210403120
713402611060
oct3134477670
91082314553
10426934200
111a9aa1a90
12bab904a0
136a5b1cb4
14409b63a0
1527734050
hex19727fb8

426934200 has 192 divisors, whose sum is σ = 1650251520. Its totient is φ = 88704000.

The previous prime is 426934187. The next prime is 426934217. The reversal of 426934200 is 2439624.

It is a super-2 number, since 2×4269342002 = 364545622259280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41580 + ... + 50820.

It is an arithmetic number, because the mean of its divisors is an integer number (8595060).

Almost surely, 2426934200 is an apocalyptic number.

426934200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426934200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825125760).

426934200 is an abundant number, since it is smaller than the sum of its proper divisors (1223317320).

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

426934200 is a wasteful number, since it uses less digits than its factorization.

426934200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9278 (or 9269 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 426934200 is about 20662.3861158386. The cubic root of 426934200 is about 752.9861392947.

The spelling of 426934200 in words is "four hundred twenty-six million, nine hundred thirty-four thousand, two hundred".