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1304413420 = 225713672503
BaseRepresentation
bin100110110111111…
…1100010011101100
310100220111001211011
41031233330103230
510132412212140
6333234035004
744216221402
oct11557742354
93326431734
101304413420
1160a342122
12304a18a64
1317a321a7b
14c534d472
15797b2cea
hex4dbfc4ec

1304413420 has 48 divisors (see below), whose sum is σ = 2786531328. Its totient is φ = 512809920.

The previous prime is 1304413399. The next prime is 1304413423. The reversal of 1304413420 is 243144031.

It is a junction number, because it is equal to n+sod(n) for n = 1304413391 and 1304413400.

It is not an unprimeable number, because it can be changed into a prime (1304413423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519889 + ... + 522391.

It is an arithmetic number, because the mean of its divisors is an integer number (58052736).

Almost surely, 21304413420 is an apocalyptic number.

1304413420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1304413420 is an abundant number, since it is smaller than the sum of its proper divisors (1482117908).

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

1304413420 is a wasteful number, since it uses less digits than its factorization.

1304413420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1304413420 is about 36116.6640209198. The cubic root of 1304413420 is about 1092.6265585869.

Adding to 1304413420 its reverse (243144031), we get a palindrome (1547557451).

The spelling of 1304413420 in words is "one billion, three hundred four million, four hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 71 142 284 355 367 710 734 1420 1468 1835 2503 3670 5006 7340 10012 12515 25030 26057 50060 52114 104228 130285 177713 260570 355426 521140 710852 888565 918601 1777130 1837202 3554260 3674404 4593005 9186010 18372020 65220671 130441342 260882684 326103355 652206710 1304413420