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95334304 = 25131012269
BaseRepresentation
bin1011010111010…
…10111110100000
320122101111002011
411223222332200
5143401144204
613243202304
72235220402
oct553527640
9218344064
1095334304
11498a508a
1227b16394
131699bc40
14c938b72
158582304
hex5aeafa0

95334304 has 48 divisors (see below), whose sum is σ = 204218280. Its totient is φ = 43545600.

The previous prime is 95334301. The next prime is 95334341. The reversal of 95334304 is 40343359.

It can be written as a sum of positive squares in 4 ways, for example, as 66389904 + 28944400 = 8148^2 + 5380^2 .

It is not an unprimeable number, because it can be changed into a prime (95334301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40882 + ... + 43150.

Almost surely, 295334304 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 95334304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102109140).

95334304 is an abundant number, since it is smaller than the sum of its proper divisors (108883976).

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

95334304 is a wasteful number, since it uses less digits than its factorization.

95334304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 31.

The square root of 95334304 is about 9763.9287174784. The cubic root of 95334304 is about 456.8248638221.

The spelling of 95334304 in words is "ninety-five million, three hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 101 104 202 208 404 416 808 1313 1616 2269 2626 3232 4538 5252 9076 10504 18152 21008 29497 36304 42016 58994 72608 117988 229169 235976 458338 471952 916676 943904 1833352 2979197 3666704 5958394 7333408 11916788 23833576 47667152 95334304