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299930400 = 253252711541
BaseRepresentation
bin10001111000001…
…001001100100000
3202220101001011100
4101320021030200
51103240233100
645432314400
710301236440
oct2170111440
9686331140
10299930400
11144337170
1284542a00
134a1a5213
142bb96120
151b4e8400
hex11e09320

299930400 has 432 divisors, whose sum is σ = 1321040448. Its totient is φ = 62208000.

The previous prime is 299930387. The next prime is 299930417. The reversal of 299930400 is 4039992.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 554130 + ... + 554670.

It is an arithmetic number, because the mean of its divisors is an integer number (3057964).

Almost surely, 2299930400 is an apocalyptic number.

299930400 is a gapful number since it is divisible by the number (20) 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 299930400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660520224).

299930400 is an abundant number, since it is smaller than the sum of its proper divisors (1021110048).

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

299930400 is a wasteful number, since it uses less digits than its factorization.

299930400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 299930400 is about 17318.4987802061. The cubic root of 299930400 is about 669.3811765967.

The spelling of 299930400 in words is "two hundred ninety-nine million, nine hundred thirty thousand, four hundred".