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355855104 = 28321119739
BaseRepresentation
bin10101001101011…
…110101100000000
3220210121022102200
4111031132230000
51212044330404
655151113200
711550501303
oct2515365400
9823538380
10355855104
11172964230
129b212800
1358956267
1435392b3a
1521393839
hex1535eb00

355855104 has 216 divisors, whose sum is σ = 1179796800. Its totient is φ = 102021120.

The previous prime is 355855079. The next prime is 355855109. The reversal of 355855104 is 401558553.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (355855109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 481167 + ... + 481905.

Almost surely, 2355855104 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 355855104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589898400).

355855104 is an abundant number, since it is smaller than the sum of its proper divisors (823941696).

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

355855104 is a wasteful number, since it uses less digits than its factorization.

355855104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The square root of 355855104 is about 18864.1221370092. The cubic root of 355855104 is about 708.6379388537.

The spelling of 355855104 in words is "three hundred fifty-five million, eight hundred fifty-five thousand, one hundred four".