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1304042420 = 225292248349
BaseRepresentation
bin100110110111010…
…0001101110110100
310100212210012220102
41031232201232310
510132313324140
6333222053232
744213114642
oct11556415664
93325705812
101304042420
1160a10940a
1230487a218
1317a221c45
14c5294192
157973ce15
hex4dba1bb4

1304042420 has 24 divisors (see below), whose sum is σ = 2832921000. Its totient is φ = 503629952.

The previous prime is 1304042419. The next prime is 1304042429. The reversal of 1304042420 is 242404031.

It can be written as a sum of positive squares in 4 ways, for example, as 67535524 + 1236506896 = 8218^2 + 35164^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1304042392 and 1304042401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304042429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1123595 + ... + 1124754.

It is an arithmetic number, because the mean of its divisors is an integer number (118038375).

Almost surely, 21304042420 is an apocalyptic number.

1304042420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304042420 is an abundant number, since it is smaller than the sum of its proper divisors (1528878580).

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

1304042420 is a wasteful number, since it uses less digits than its factorization.

1304042420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248387 (or 2248385 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1304042420 is about 36111.5275223854. The cubic root of 1304042420 is about 1092.5229608358.

Adding to 1304042420 its reverse (242404031), we get a palindrome (1546446451).

The spelling of 1304042420 in words is "one billion, three hundred four million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 2248349 4496698 8993396 11241745 22483490 44966980 65202121 130404242 260808484 326010605 652021210 1304042420