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1030472352 = 2532721341137
BaseRepresentation
bin111101011010111…
…100001010100000
32122211000102022200
4331122330022200
54102300103402
6250130333200
734351604400
oct7532741240
92584012280
101030472352
11489747148
1224912a200
13135649170
149ac00800
156070021c
hex3d6bc2a0

1030472352 has 432 divisors, whose sum is σ = 3788045352. Its totient is φ = 263208960.

The previous prime is 1030472293. The next prime is 1030472389. The reversal of 1030472352 is 2532740301.

1030472352 is a `hidden beast` number, since 1 + 0 + 304 + 7 + 2 + 352 = 666.

1030472352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 473323536 + 557148816 = 21756^2 + 23604^2 .

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7521628 + ... + 7521764.

Almost surely, 21030472352 is an apocalyptic number.

1030472352 is a gapful number since it is divisible by the number (12) 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 1030472352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894022676).

1030472352 is an abundant number, since it is smaller than the sum of its proper divisors (2757573000).

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

1030472352 is a wasteful number, since it uses less digits than its factorization.

1030472352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 1030472352 is about 32100.9712002612. The cubic root of 1030472352 is about 1010.0559887925.

The spelling of 1030472352 in words is "one billion, thirty million, four hundred seventy-two thousand, three hundred fifty-two".