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1344746520 = 2332513223312
BaseRepresentation
bin101000000100111…
…0011010000011000
310110201101012102200
41100021303100120
510223223342040
6341234330200
745216104535
oct12011632030
93421335380
101344746520
1163008aa67
12316429960
131857a4100
14ca84bd8c
157d0cd630
hex50273418

1344746520 has 432 divisors, whose sum is σ = 5102669520. Its totient is φ = 306408960.

The previous prime is 1344746509. The next prime is 1344746521. The reversal of 1344746520 is 256474431.

1344746520 is a `hidden beast` number, since 134 + 47 + 465 + 20 = 666.

It is a super-2 number, since 2×13447465202 = 3616686406104220800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344746521) 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 107 ways as a sum of consecutive naturals, for example, 43378905 + ... + 43378935.

It is an arithmetic number, because the mean of its divisors is an integer number (11811735).

Almost surely, 21344746520 is an apocalyptic number.

1344746520 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 1344746520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2551334760).

1344746520 is an abundant number, since it is smaller than the sum of its proper divisors (3757923000).

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

1344746520 is a wasteful number, since it uses less digits than its factorization.

1344746520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 1344746520 is about 36670.7856474333. The cubic root of 1344746520 is about 1103.7739573444.

The spelling of 1344746520 in words is "one billion, three hundred forty-four million, seven hundred forty-six thousand, five hundred twenty".