Search a number
-
+
1345867696 = 241716729629
BaseRepresentation
bin101000000111000…
…0100111110110000
310110210111011101201
41100032010332300
510224020231241
6341314340544
745231454345
oct12016047660
93423434351
101345867696
11630786358
1231688a754
13185aa7524
14caa607cc
157d250931
hex50384fb0

1345867696 has 40 divisors (see below), whose sum is σ = 2777634720. Its totient is φ = 629535744.

The previous prime is 1345867661. The next prime is 1345867709. The reversal of 1345867696 is 6967685431.

It is a super-2 number, since 2×13458676962 = 3622719710272696832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30610 + ... + 60238.

It is an arithmetic number, because the mean of its divisors is an integer number (69440868).

Almost surely, 21345867696 is an apocalyptic number.

1345867696 is a gapful number since it is divisible by the number (16) 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 1345867696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388817360).

1345867696 is an abundant number, since it is smaller than the sum of its proper divisors (1431767024).

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

1345867696 is a wasteful number, since it uses less digits than its factorization.

1345867696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29821 (or 29815 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The square root of 1345867696 is about 36686.0695087386. The cubic root of 1345867696 is about 1104.0806275568.

The spelling of 1345867696 in words is "one billion, three hundred forty-five million, eight hundred sixty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 167 272 334 668 1336 2672 2839 5678 11356 22712 29629 45424 59258 118516 237032 474064 503693 1007386 2014772 4029544 4948043 8059088 9896086 19792172 39584344 79168688 84116731 168233462 336466924 672933848 1345867696