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134310440 = 23511383797
BaseRepresentation
bin10000000000101…
…10101000101000
3100100201200021202
420000112220220
5233340413230
621154423332
73220422425
oct1000265050
9310650252
10134310440
11698a6470
1238b91b48
1321a97744
1413ba2d4c
15bbd0a45
hex8016a28

134310440 has 64 divisors (see below), whose sum is σ = 330946560. Its totient is φ = 48651520.

The previous prime is 134310433. The next prime is 134310461. The reversal of 134310440 is 44013431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 168122 + ... + 168918.

It is an arithmetic number, because the mean of its divisors is an integer number (5171040).

Almost surely, 2134310440 is an apocalyptic number.

134310440 is a gapful number since it is divisible by the number (10) 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 134310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165473280).

134310440 is an abundant number, since it is smaller than the sum of its proper divisors (196636120).

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

134310440 is a wasteful number, since it uses less digits than its factorization.

134310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202 (or 1198 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 134310440 is about 11589.2381112824. The cubic root of 134310440 is about 512.1178622704.

Adding to 134310440 its reverse (44013431), we get a palindrome (178323871).

The spelling of 134310440 in words is "one hundred thirty-four million, three hundred ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 383 440 766 797 1532 1594 1915 3064 3188 3830 3985 4213 6376 7660 7970 8426 8767 15320 15940 16852 17534 21065 31880 33704 35068 42130 43835 70136 84260 87670 168520 175340 305251 350680 610502 1221004 1526255 2442008 3052510 3357761 6105020 6715522 12210040 13431044 16788805 26862088 33577610 67155220 134310440