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1352899968 = 27373761223
BaseRepresentation
bin101000010100011…
…1001110110000000
310111021201102212020
41100220321312000
510232320244333
6342125201440
745345313530
oct12050716600
93437642766
101352899968
11634749852
12319100280
1318739a334
14cb9714c0
157db8e3b3
hex50a39d80

1352899968 has 256 divisors, whose sum is σ = 4306391040. Its totient is φ = 368271360.

The previous prime is 1352899943. The next prime is 1352899991. The reversal of 1352899968 is 8699982531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6066705 + ... + 6066927.

It is an arithmetic number, because the mean of its divisors is an integer number (16821840).

Almost surely, 21352899968 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 1352899968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153195520).

1352899968 is an abundant number, since it is smaller than the sum of its proper divisors (2953491072).

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

1352899968 is a wasteful number, since it uses less digits than its factorization.

1352899968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 333 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 60.

The square root of 1352899968 is about 36781.7885372639. The cubic root of 1352899968 is about 1106.0002594211. Note that the first 3 decimals are identical.

The spelling of 1352899968 in words is "one billion, three hundred fifty-two million, eight hundred ninety-nine thousand, nine hundred sixty-eight".