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1344407768 = 2311210113751
BaseRepresentation
bin101000000100010…
…0000100011011000
310110200201222202022
41100020200203120
510223132022033
6341223154012
745213164114
oct12010404330
93420658668
101344407768
1162a979500
123162a5908
131856b5b72
14ca7a0744
157d063098
hex502208d8

1344407768 has 48 divisors (see below), whose sum is σ = 2798394480. Its totient is φ = 605000000.

The previous prime is 1344407759. The next prime is 1344407773. The reversal of 1344407768 is 8677044431.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90893 + ... + 104643.

It is an arithmetic number, because the mean of its divisors is an integer number (58299885).

Almost surely, 21344407768 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 1344407768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399197240).

1344407768 is an abundant number, since it is smaller than the sum of its proper divisors (1453986712).

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

1344407768 is a wasteful number, since it uses less digits than its factorization.

1344407768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13880 (or 13865 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The square root of 1344407768 is about 36666.1665299224. The cubic root of 1344407768 is about 1103.6812665086.

The spelling of 1344407768 in words is "one billion, three hundred forty-four million, four hundred seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 101 121 202 242 404 484 808 968 1111 2222 4444 8888 12221 13751 24442 27502 48884 55004 97768 110008 151261 302522 605044 1210088 1388851 1663871 2777702 3327742 5555404 6655484 11110808 13310968 15277361 30554722 61109444 122218888 168050971 336101942 672203884 1344407768