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1334107404 = 2232716332479
BaseRepresentation
bin100111110000100…
…1101110100001100
310102222100200022100
41033201031310030
510213012414104
6340214315100
745026503650
oct11741156414
93388320270
101334107404
11625083703
12312958a90
1318351a686
14c927ca60
157c1cb139
hex4f84dd0c

1334107404 has 72 divisors (see below), whose sum is σ = 3877852160. Its totient is φ = 378823392.

The previous prime is 1334107399. The next prime is 1334107421. The reversal of 1334107404 is 4047014331.

It is a super-3 number, since 3×13341074043 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24837 + ... + 57315.

Almost surely, 21334107404 is an apocalyptic number.

1334107404 is a gapful number since it is divisible by the number (14) 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 1334107404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938926080).

1334107404 is an abundant number, since it is smaller than the sum of its proper divisors (2543744756).

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

1334107404 is a wasteful number, since it uses less digits than its factorization.

1334107404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32659 (or 32654 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1334107404 is about 36525.4350282101. The cubic root of 1334107404 is about 1100.8553688457.

The spelling of 1334107404 in words is "one billion, three hundred thirty-four million, one hundred seven thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 163 252 326 489 652 978 1141 1467 1956 2282 2934 3423 4564 5868 6846 10269 13692 20538 32479 41076 64958 97437 129916 194874 227353 292311 389748 454706 584622 682059 909412 1169244 1364118 2046177 2728236 4092354 5294077 8184708 10588154 15882231 21176308 31764462 37058539 47646693 63528924 74117078 95293386 111175617 148234156 190586772 222351234 333526851 444702468 667053702 1334107404