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299400480 = 253251931353
BaseRepresentation
bin10001110110000…
…111110100100000
3202212101010020200
4101312013310200
51103121303410
645413105200
710263601461
oct2166076440
9685333220
10299400480
11144005015
1284328200
134a04ac62
142ba98d68
151b4413c0
hex11d87d20

299400480 has 288 divisors, whose sum is σ = 1113315840. Its totient is φ = 72990720.

The previous prime is 299400473. The next prime is 299400487. The reversal of 299400480 is 84004992.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (299400473) and next prime (299400487).

It is a tau number, because it is divible by the number of its divisors (288).

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 (299400487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 847984 + ... + 848336.

It is an arithmetic number, because the mean of its divisors is an integer number (3865680).

Almost surely, 2299400480 is an apocalyptic number.

299400480 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 299400480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556657920).

299400480 is an abundant number, since it is smaller than the sum of its proper divisors (813915360).

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

299400480 is a wasteful number, since it uses less digits than its factorization.

299400480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 299400480 is about 17303.1927689661. The cubic root of 299400480 is about 668.9867210996.

The spelling of 299400480 in words is "two hundred ninety-nine million, four hundred thousand, four hundred eighty".