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350144253 = 32257151381
BaseRepresentation
bin10100110111101…
…100011011111101
3220101212011121200
4110313230123331
51204114104003
654424450113
711451114504
oct2467543375
9811764550
10350144253
1116a713618
1299319939
1357706a64
143470783b
1520b166a3
hex14dec6fd

350144253 has 12 divisors (see below), whose sum is σ = 507735228. Its totient is φ = 232519680.

The previous prime is 350144251. The next prime is 350144269. The reversal of 350144253 is 352441053.

It can be written as a sum of positive squares in 2 ways, for example, as 281635524 + 68508729 = 16782^2 + 8277^2 .

It is not a de Polignac number, because 350144253 - 21 = 350144251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350144251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73378 + ... + 78003.

It is an arithmetic number, because the mean of its divisors is an integer number (42311269).

Almost surely, 2350144253 is an apocalyptic number.

It is an amenable number.

350144253 is a deficient number, since it is larger than the sum of its proper divisors (157590975).

350144253 is a wasteful number, since it uses less digits than its factorization.

350144253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151644 (or 151641 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 350144253 is about 18712.1418603002. The cubic root of 350144253 is about 704.8266783829.

The spelling of 350144253 in words is "three hundred fifty million, one hundred forty-four thousand, two hundred fifty-three".

Divisors: 1 3 9 257 771 2313 151381 454143 1362429 38904917 116714751 350144253