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950145300 = 22325213172281
BaseRepresentation
bin111000101000100…
…001000100010100
32110012212101022200
4320220201010110
53421214122200
6234140524500
732355046626
oct7050410424
92405771280
10950145300
11448372255
12226250730
13121b02c70
1490290c16
1558634800
hex38a21114

950145300 has 324 divisors, whose sum is σ = 3419153556. Its totient is φ = 219340800.

The previous prime is 950145289. The next prime is 950145347. The reversal of 950145300 is 3541059.

It can be written as a sum of positive squares in 18 ways, for example, as 429484176 + 520661124 = 20724^2 + 22818^2 .

It is a super-2 number, since 2×9501453002 = 1805552182224180000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3381160 + ... + 3381440.

Almost surely, 2950145300 is an apocalyptic number.

950145300 is a gapful number since it is divisible by the number (90) 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 950145300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709576778).

950145300 is an abundant number, since it is smaller than the sum of its proper divisors (2469008256).

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

950145300 is a wasteful number, since it uses less digits than its factorization.

950145300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 950145300 is about 30824.4270019736. The cubic root of 950145300 is about 983.0976881164.

Adding to 950145300 its reverse (3541059), we get a palindrome (953686359).

The spelling of 950145300 in words is "nine hundred fifty million, one hundred forty-five thousand, three hundred".