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1344031440 = 24355600131
BaseRepresentation
bin101000000011100…
…0100101011010000
310110200000212112020
41100013010223100
510223033001230
6341211131440
745210036003
oct12007045320
93420025466
101344031440
1162a741794
12316143b80
131855b379b
14ca70353a
157cedb810
hex501c4ad0

1344031440 has 40 divisors (see below), whose sum is σ = 4166498208. Its totient is φ = 358408320.

The previous prime is 1344031439. The next prime is 1344031463. The reversal of 1344031440 is 441304431.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1344031440.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2799826 + ... + 2800305.

Almost surely, 21344031440 is an apocalyptic number.

1344031440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344031440 is an abundant number, since it is smaller than the sum of its proper divisors (2822466768).

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

1344031440 is a wasteful number, since it uses less digits than its factorization.

1344031440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5600147 (or 5600141 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1344031440 is about 36661.0343552934. The cubic root of 1344031440 is about 1103.5782757012.

Adding to 1344031440 its reverse (441304431), we get a palindrome (1785335871).

The spelling of 1344031440 in words is "one billion, three hundred forty-four million, thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 5600131 11200262 16800393 22400524 28000655 33600786 44801048 56001310 67201572 84001965 89602096 112002620 134403144 168003930 224005240 268806288 336007860 448010480 672015720 1344031440