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299940480 = 27325743173
BaseRepresentation
bin10001111000001…
…011101010000000
3202220101112222200
4101320023222000
51103241043410
645432433200
710301311020
oct2170135200
9686345880
10299940480
111443437a4
1284548800
134a1a9998
142bb99a80
151b4eb3c0
hex11e0ba80

299940480 has 384 divisors, whose sum is σ = 1218222720. Its totient is φ = 66576384.

The previous prime is 299940467. The next prime is 299940499. The reversal of 299940480 is 84049992.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1733674 + ... + 1733846.

It is an arithmetic number, because the mean of its divisors is an integer number (3172455).

Almost surely, 2299940480 is an apocalyptic number.

299940480 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 299940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609111360).

299940480 is an abundant number, since it is smaller than the sum of its proper divisors (918282240).

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

299940480 is a wasteful number, since it uses less digits than its factorization.

299940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 299940480 is about 17318.7897960568. The cubic root of 299940480 is about 669.3886753216.

The spelling of 299940480 in words is "two hundred ninety-nine million, nine hundred forty thousand, four hundred eighty".