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284314980 = 22354738583
BaseRepresentation
bin10000111100100…
…100110101100100
3201210222200211110
4100330210311210
51040241034410
644113505020
710021431435
oct2074446544
9653880743
10284314980
11136541064
127b272170
1346b98721
1429a8d48c
1519e61720
hex10f24d64

284314980 has 24 divisors (see below), whose sum is σ = 796082112. Its totient is φ = 75817312.

The previous prime is 284314967. The next prime is 284314991. The reversal of 284314980 is 89413482.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2369232 + ... + 2369351.

It is an arithmetic number, because the mean of its divisors is an integer number (33170088).

Almost surely, 2284314980 is an apocalyptic number.

284314980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284314980 is an abundant number, since it is smaller than the sum of its proper divisors (511767132).

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

284314980 is a wasteful number, since it uses less digits than its factorization.

284314980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4738595 (or 4738593 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 284314980 is about 16861.6422687709. The cubic root of 284314980 is about 657.5567608956.

It can be divided in two parts, 28431 and 4980, that added together give a triangular number (33411 = T258).

The spelling of 284314980 in words is "two hundred eighty-four million, three hundred fourteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4738583 9477166 14215749 18954332 23692915 28431498 47385830 56862996 71078745 94771660 142157490 284314980