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1321253304 = 233721137273
BaseRepresentation
bin100111011000000…
…1011100110111000
310102002011121210120
41032300023212320
510201220101204
6335035013240
744512316310
oct11660134670
93362147716
101321253304
116188a4188
1230a59a220
131809699b7
14c7694440
157aedc6d9
hex4ec0b9b8

1321253304 has 64 divisors (see below), whose sum is σ = 3793002240. Its totient is φ = 375701760.

The previous prime is 1321253287. The next prime is 1321253341. The reversal of 1321253304 is 4033521231.

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

It is a congruent number.

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, 16812 + ... + 54084.

It is an arithmetic number, because the mean of its divisors is an integer number (59265660).

Almost surely, 21321253304 is an apocalyptic number.

1321253304 is a gapful number since it is divisible by the number (14) 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 1321253304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896501120).

1321253304 is an abundant number, since it is smaller than the sum of its proper divisors (2471748936).

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

1321253304 is a wasteful number, since it uses less digits than its factorization.

1321253304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37500 (or 37496 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1321253304 is about 36349.0481856128. The cubic root of 1321253304 is about 1097.3083789481.

Adding to 1321253304 its reverse (4033521231), we get a palindrome (5354774535).

The spelling of 1321253304 in words is "one billion, three hundred twenty-one million, two hundred fifty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 211 422 633 844 1266 1477 1688 2532 2954 4431 5064 5908 8862 11816 17724 35448 37273 74546 111819 149092 223638 260911 298184 447276 521822 782733 894552 1043644 1565466 2087288 3130932 6261864 7864603 15729206 23593809 31458412 47187618 55052221 62916824 94375236 110104442 165156663 188750472 220208884 330313326 440417768 660626652 1321253304