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1334014140 = 2235174612837
BaseRepresentation
bin100111110000011…
…0111000010111100
310102222011221101010
41033200313002330
510213001423030
6340212315220
745025635024
oct11740670274
93388157333
101334014140
1162501a628
12312912b10
131834b70a4
14c9256a84
157c1ad6b0
hex4f8370bc

1334014140 has 96 divisors (see below), whose sum is σ = 3964935744. Its totient is φ = 333967360.

The previous prime is 1334014139. The next prime is 1334014141. The reversal of 1334014140 is 414104331.

It is an interprime number because it is at equal distance from previous prime (1334014139) and next prime (1334014141).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334014141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468802 + ... + 471638.

It is an arithmetic number, because the mean of its divisors is an integer number (41301414).

Almost surely, 21334014140 is an apocalyptic number.

1334014140 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 1334014140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982467872).

1334014140 is an abundant number, since it is smaller than the sum of its proper divisors (2630921604).

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

1334014140 is a wasteful number, since it uses less digits than its factorization.

1334014140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327 (or 3325 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1334014140 is about 36524.1583065236. The cubic root of 1334014140 is about 1100.8297155968.

Adding to 1334014140 its reverse (414104331), we get a palindrome (1748118471).

The spelling of 1334014140 in words is "one billion, three hundred thirty-four million, fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 461 510 922 1020 1383 1844 2305 2766 2837 4610 5532 5674 6915 7837 8511 9220 11348 13830 14185 15674 17022 23511 27660 28370 31348 34044 39185 42555 47022 48229 56740 78370 85110 94044 96458 117555 144687 156740 170220 192916 235110 241145 289374 470220 482290 578748 723435 964580 1307857 1446870 2615714 2893740 3923571 5231428 6539285 7847142 13078570 15694284 19617855 22233569 26157140 39235710 44467138 66700707 78471420 88934276 111167845 133401414 222335690 266802828 333503535 444671380 667007070 1334014140