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1356298944 = 263711137057
BaseRepresentation
bin101000011010111…
…0111101011000000
310111112010010101020
41100311313223000
510234203031234
6342330105440
745416231220
oct12065675300
93445103336
101356298944
11636660520
1231a27b280
13187cba470
14cc1b8080
157e111549
hex50d77ac0

1356298944 has 224 divisors, whose sum is σ = 4818863616. Its totient is φ = 325140480.

The previous prime is 1356298943. The next prime is 1356298961. The reversal of 1356298944 is 4498926531.

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

It is not an unprimeable number, because it can be changed into a prime (1356298943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188664 + ... + 195720.

It is an arithmetic number, because the mean of its divisors is an integer number (21512784).

Almost surely, 21356298944 is an apocalyptic number.

1356298944 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 1356298944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409431808).

1356298944 is an abundant number, since it is smaller than the sum of its proper divisors (3462564672).

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

1356298944 is a wasteful number, since it uses less digits than its factorization.

1356298944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7103 (or 7093 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 1356298944 is about 36827.9641576887. The cubic root of 1356298944 is about 1106.9257095893.

The spelling of 1356298944 in words is "one billion, three hundred fifty-six million, two hundred ninety-eight thousand, nine hundred forty-four".