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1350344952 = 23331117101331
BaseRepresentation
bin101000001111100…
…1010000011111000
310111002220122001000
41100133022003320
510231142014302
6341554325000
745314512515
oct12037120370
93432818030
101350344952
11633264170
12318289760
131869b43a8
14cb4a830c
157d83731c
hex507ca0f8

1350344952 has 256 divisors, whose sum is σ = 4388774400. Its totient is φ = 380160000.

The previous prime is 1350344939. The next prime is 1350344959. The reversal of 1350344952 is 2594430531.

1350344952 is a `hidden beast` number, since 135 + 0 + 34 + 495 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350344959) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4079427 + ... + 4079757.

It is an arithmetic number, because the mean of its divisors is an integer number (17143650).

Almost surely, 21350344952 is an apocalyptic number.

1350344952 is a gapful number since it is divisible by the number (12) 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 1350344952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194387200).

1350344952 is an abundant number, since it is smaller than the sum of its proper divisors (3038429448).

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

1350344952 is a wasteful number, since it uses less digits than its factorization.

1350344952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1350344952 is about 36747.0400440634. The cubic root of 1350344952 is about 1105.3035759484.

The spelling of 1350344952 in words is "one billion, three hundred fifty million, three hundred forty-four thousand, nine hundred fifty-two".