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1334365540 = 225731019049
BaseRepresentation
bin100111110001000…
…1100110101100100
310102222211210101221
41033202030311210
510213044144130
6340224030124
745031630354
oct11742146544
93388753357
101334365540
1162523a642
12312a62344
131835ab011
14c9308b64
157c22c87a
hex4f88cd64

1334365540 has 48 divisors (see below), whose sum is σ = 2868994800. Its totient is φ = 521164800.

The previous prime is 1334365511. The next prime is 1334365559. The reversal of 1334365540 is 455634331.

It can be written as a sum of positive squares in 8 ways, for example, as 238887936 + 1095477604 = 15456^2 + 33098^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1334365496 and 1334365505.

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, 142936 + ... + 151984.

It is an arithmetic number, because the mean of its divisors is an integer number (59770725).

Almost surely, 21334365540 is an apocalyptic number.

1334365540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334365540 is an abundant number, since it is smaller than the sum of its proper divisors (1534629260).

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

1334365540 is a wasteful number, since it uses less digits than its factorization.

1334365540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9232 (or 9230 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 34.

The square root of 1334365540 is about 36528.9685044623. The cubic root of 1334365540 is about 1100.9263656471.

Adding to 1334365540 its reverse (455634331), we get a palindrome (1789999871).

The spelling of 1334365540 in words is "one billion, three hundred thirty-four million, three hundred sixty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 73 101 146 202 292 365 404 505 730 1010 1460 2020 7373 9049 14746 18098 29492 36196 36865 45245 73730 90490 147460 180980 660577 913949 1321154 1827898 2642308 3302885 3655796 4569745 6605770 9139490 13211540 18278980 66718277 133436554 266873108 333591385 667182770 1334365540