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1334718464 = 212378807
BaseRepresentation
bin100111110001110…
…0011000000000000
310110000111201112012
41033203203000000
510213141442324
6340235352052
745034630322
oct11743430000
93400451465
101334718464
11625460812
12312bb2628
131836a2851
14c939b612
157c29c20e
hex4f8e3000

1334718464 has 52 divisors (see below), whose sum is σ = 2741560464. Its totient is φ = 649248768.

The previous prime is 1334718461. The next prime is 1334718481. The reversal of 1334718464 is 4648174331.

It is not an unprimeable number, because it can be changed into a prime (1334718461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 147149 + ... + 155955.

Almost surely, 21334718464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1334718464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370780232).

1334718464 is an abundant number, since it is smaller than the sum of its proper divisors (1406842000).

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

1334718464 is an frugal number, since it uses more digits than its factorization.

1334718464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8868 (or 8846 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 1334718464 is about 36533.7989264736. The cubic root of 1334718464 is about 1101.0234177854.

The spelling of 1334718464 in words is "one billion, three hundred thirty-four million, seven hundred eighteen thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2048 2368 4096 4736 8807 9472 17614 18944 35228 37888 70456 75776 140912 151552 281824 325859 563648 651718 1127296 1303436 2254592 2606872 4509184 5213744 9018368 10427488 18036736 20854976 36073472 41709952 83419904 166839808 333679616 667359232 1334718464