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426634240 = 2105103809
BaseRepresentation
bin11001011011011…
…110110000000000
31002201210021011011
4121123132300000
51333204243430
6110200130304
713400221414
oct3133366000
91081707134
10426634240
111a990768a
12baa66994
136a5085c6
1440938d44
15276c522a
hex196dec00

426634240 has 88 divisors (see below), whose sum is σ = 1034635680. Its totient is φ = 168787968.

The previous prime is 426634237. The next prime is 426634267. The reversal of 426634240 is 42436624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526956 + ... + 527764.

Almost surely, 2426634240 is an apocalyptic number.

426634240 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 426634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517317840).

426634240 is an abundant number, since it is smaller than the sum of its proper divisors (608001440).

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

426634240 is a wasteful number, since it uses less digits than its factorization.

426634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

The square root of 426634240 is about 20655.1262402339. The cubic root of 426634240 is about 752.8097509581.

The spelling of 426634240 in words is "four hundred twenty-six million, six hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 206 256 320 412 512 515 640 809 824 1024 1030 1280 1618 1648 2060 2560 3236 3296 4045 4120 5120 6472 6592 8090 8240 12944 13184 16180 16480 25888 26368 32360 32960 51776 52736 64720 65920 83327 103552 105472 129440 131840 166654 207104 258880 263680 333308 414208 416635 517760 527360 666616 828416 833270 1035520 1333232 1666540 2071040 2666464 3333080 4142080 5332928 6666160 10665856 13332320 21331712 26664640 42663424 53329280 85326848 106658560 213317120 426634240