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1340330624 = 2737283009
BaseRepresentation
bin100111111100011…
…1101001010000000
310110102001211221222
41033320331022000
510221111034444
6340555534212
745133423313
oct11770751200
93412054858
101340330624
11628644266
12314a5a368
131848b9159
14ca01c97a
157ca09eee
hex4fe3d280

1340330624 has 32 divisors (see below), whose sum is σ = 2742366900. Its totient is φ = 652050432.

The previous prime is 1340330603. The next prime is 1340330633. The reversal of 1340330624 is 4260330431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1034780224 + 305550400 = 32168^2 + 17480^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 1340330593 and 1340330602.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136769 + ... + 146240.

Almost surely, 21340330624 is an apocalyptic number.

It is an amenable number.

1340330624 is an abundant number, since it is smaller than the sum of its proper divisors (1402036276).

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

1340330624 is an equidigital number, since it uses as much as digits as its factorization.

1340330624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283060 (or 283048 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 1340330624 is about 36610.5261366181. The cubic root of 1340330624 is about 1102.5644367019.

The spelling of 1340330624 in words is "one billion, three hundred forty million, three hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2368 4736 283009 566018 1132036 2264072 4528144 9056288 10471333 18112576 20942666 36225152 41885332 83770664 167541328 335082656 670165312 1340330624