Search a number
-
+
1334490080 = 255711195701
BaseRepresentation
bin100111110001010…
…1011001111100000
310110000002010020112
41033202223033200
510213112140310
6340230430452
745032656430
oct11742531740
93400063215
101334490080
11625315170
12312b02428
13183622901
14c933c2c0
157c254705
hex4f8ab3e0

1334490080 has 192 divisors, whose sum is σ = 4138283520. Its totient is φ = 393984000.

The previous prime is 1334490067. The next prime is 1334490149. The reversal of 1334490080 is 800944331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231230 + ... + 236930.

It is an arithmetic number, because the mean of its divisors is an integer number (21553560).

Almost surely, 21334490080 is an apocalyptic number.

1334490080 is a gapful number since it is divisible by the number (10) 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 1334490080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069141760).

1334490080 is an abundant number, since it is smaller than the sum of its proper divisors (2803793440).

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

1334490080 is a wasteful number, since it uses less digits than its factorization.

1334490080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5753 (or 5745 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 1334490080 is about 36530.6731391580. The cubic root of 1334490080 is about 1100.9606154086.

The spelling of 1334490080 in words is "one billion, three hundred thirty-four million, four hundred ninety thousand, eighty".