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46406340 = 22325283911
BaseRepresentation
bin1011000100000…
…1101011000100
310020022200112100
42301001223010
543340000330
64334352100
71102306311
oct261015304
9106280470
1046406340
1124216852
121365b630
1397ca796
14623dd08
15411a060
hex2c41ac4

46406340 has 72 divisors (see below), whose sum is σ = 141418368. Its totient is φ = 12317760.

The previous prime is 46406333. The next prime is 46406363. The reversal of 46406340 is 4360464.

It is a happy 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, 50485 + ... + 51395.

It is an arithmetic number, because the mean of its divisors is an integer number (1964144).

Almost surely, 246406340 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 46406340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709184).

46406340 is an abundant number, since it is smaller than the sum of its proper divisors (95012028).

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

46406340 is a wasteful number, since it uses less digits than its factorization.

46406340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 46406340 is about 6812.2199024987. The cubic root of 46406340 is about 359.3567215908.

The spelling of 46406340 in words is "forty-six million, four hundred six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 283 566 849 911 1132 1415 1698 1822 2547 2733 2830 3396 3644 4245 4555 5094 5466 5660 8199 8490 9110 10188 10932 12735 13665 16398 16980 18220 25470 27330 32796 40995 50940 54660 81990 163980 257813 515626 773439 1031252 1289065 1546878 2320317 2578130 3093756 3867195 4640634 5156260 7734390 9281268 11601585 15468780 23203170 46406340