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3395250432 = 2836723113
BaseRepresentation
bin1100101001011111…
…0110100100000000
322202121202121000000
43022113312210000
523423141003212
61320524000000
7150065103210
oct31227664400
98677677000
103395250432
1114925919a2
127a9090000
13421552032
14242cd2240
1514d11a1dc
hexca5f6900

3395250432 has 504 divisors, whose sum is σ = 12224951424. Its totient is φ = 919683072.

The previous prime is 3395250431. The next prime is 3395250451. The reversal of 3395250432 is 2340525933.

3395250432 is a `hidden beast` number, since 33 + 95 + 2 + 504 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 (3395250431) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 30046408 + ... + 30046520.

It is an arithmetic number, because the mean of its divisors is an integer number (24255856).

Almost surely, 23395250432 is an apocalyptic number.

3395250432 is a gapful number since it is divisible by the number (32) 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 3395250432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6112475712).

3395250432 is an abundant number, since it is smaller than the sum of its proper divisors (8829700992).

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

3395250432 is an equidigital number, since it uses as much as digits as its factorization.

3395250432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 3395250432 is about 58268.7775056247. Note that the first 3 decimals coincide. The cubic root of 3395250432 is about 1502.9940836656.

The spelling of 3395250432 in words is "three billion, three hundred ninety-five million, two hundred fifty thousand, four hundred thirty-two".