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1334873620 = 225738910273
BaseRepresentation
bin100111110010000…
…1000111000010100
310110000210121100201
41033210020320110
510213211423440
6340242550244
745036144553
oct11744107024
93400717321
101334873620
11625557343
12313068384
13183728362
14c93dbd9a
157c2cd19a
hex4f908e14

1334873620 has 48 divisors (see below), whose sum is σ = 2873843280. Its totient is φ = 520667136.

The previous prime is 1334873599. The next prime is 1334873621. The reversal of 1334873620 is 263784331.

It can be written as a sum of positive squares in 8 ways, for example, as 156050064 + 1178823556 = 12492^2 + 34334^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1334873620.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334873621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124804 + ... + 135076.

It is an arithmetic number, because the mean of its divisors is an integer number (59871735).

Almost surely, 21334873620 is an apocalyptic number.

1334873620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334873620 is an abundant number, since it is smaller than the sum of its proper divisors (1538969660).

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

1334873620 is a wasteful number, since it uses less digits than its factorization.

1334873620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10444 (or 10442 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 1334873620 is about 36535.9223231055. The cubic root of 1334873620 is about 1101.0660794091.

It can be divided in two parts, 13348 and 73620, that added together give a palindrome (86968).

The spelling of 1334873620 in words is "one billion, three hundred thirty-four million, eight hundred seventy-three thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 73 89 146 178 292 356 365 445 730 890 1460 1780 6497 10273 12994 20546 25988 32485 41092 51365 64970 102730 129940 205460 749929 914297 1499858 1828594 2999716 3657188 3749645 4571485 7499290 9142970 14998580 18285940 66743681 133487362 266974724 333718405 667436810 1334873620