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1345794240 = 26357474261
BaseRepresentation
bin101000000110111…
…0011000011000000
310110210100102122010
41100031303003000
510224010403430
6341313012520
745231030240
oct12015630300
93423312563
101345794240
1163073614a
12316854140
13185a7cc6b
14caa41b20
157d238cb0
hex503730c0

1345794240 has 224 divisors, whose sum is σ = 4988381184. Its totient is φ = 300994560.

The previous prime is 1345794221. The next prime is 1345794257. The reversal of 1345794240 is 424975431.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×13457942402 = 3622324272834355200, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 313710 + ... + 317970.

Almost surely, 21345794240 is an apocalyptic number.

1345794240 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 1345794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494190592).

1345794240 is an abundant number, since it is smaller than the sum of its proper divisors (3642586944).

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

1345794240 is a wasteful number, since it uses less digits than its factorization.

1345794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4335 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 1345794240 is about 36685.0683521239. The cubic root of 1345794240 is about 1104.0605406834.

The spelling of 1345794240 in words is "one billion, three hundred forty-five million, seven hundred ninety-four thousand, two hundred forty".