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288001380 = 22354800023
BaseRepresentation
bin10001001010101…
…000110101100100
3202001220222121210
4101022220311210
51042212021010
644324511420
710064654112
oct2112506544
9661828553
10288001380
11138629777
128054b570
1347889624
142a36cab2
151a43db20
hex112a8d64

288001380 has 24 divisors (see below), whose sum is σ = 806404032. Its totient is φ = 76800352.

The previous prime is 288001367. The next prime is 288001381. The reversal of 288001380 is 83100882.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (288001381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2399952 + ... + 2400071.

It is an arithmetic number, because the mean of its divisors is an integer number (33600168).

Almost surely, 2288001380 is an apocalyptic number.

288001380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288001380 is an abundant number, since it is smaller than the sum of its proper divisors (518402652).

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

288001380 is a wasteful number, since it uses less digits than its factorization.

288001380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800035 (or 4800033 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 288001380 is about 16970.6034070684. The cubic root of 288001380 is about 660.3865045596.

The spelling of 288001380 in words is "two hundred eighty-eight million, one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4800023 9600046 14400069 19200092 24000115 28800138 48000230 57600276 72000345 96000460 144000690 288001380