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1345148424 = 233345713627
BaseRepresentation
bin101000000101101…
…0101011000001000
310110202010121202000
41100023111120020
510223324222144
6341251111000
745222400344
oct12013253010
93422117660
101345148424
11630334a14
123165a2460
131858b5019
14ca914624
157d15c769
hex502d5608

1345148424 has 64 divisors (see below), whose sum is σ = 3744974400. Its totient is φ = 447368832.

The previous prime is 1345148423. The next prime is 1345148429. The reversal of 1345148424 is 4248415431.

It can be divided in two parts, 1345 and 148424, that added together give a square (149769 = 3872).

1345148424 is a `hidden beast` number, since 134 + 514 + 8 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1345148423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91899 + ... + 105525.

It is an arithmetic number, because the mean of its divisors is an integer number (58515225).

Almost surely, 21345148424 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 1345148424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872487200).

1345148424 is an abundant number, since it is smaller than the sum of its proper divisors (2399825976).

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

1345148424 is a wasteful number, since it uses less digits than its factorization.

1345148424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14099 (or 14089 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 1345148424 is about 36676.2651315534. The cubic root of 1345148424 is about 1103.8839079250.

The spelling of 1345148424 in words is "one billion, three hundred forty-five million, one hundred forty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 457 914 1371 1828 2742 3656 4113 5484 8226 10968 12339 13627 16452 24678 27254 32904 40881 49356 54508 81762 98712 109016 122643 163524 245286 327048 367929 490572 735858 981144 1471716 2943432 6227539 12455078 18682617 24910156 37365234 49820312 56047851 74730468 112095702 149460936 168143553 224191404 336287106 448382808 672574212 1345148424