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230979360 = 2535481207
BaseRepresentation
bin11011100010001…
…11011100100000
3121002121222010010
431301013130200
5433112314420
634530404520
75503202133
oct1561073440
9532558103
10230979360
11109422237
1265430740
1338b12ca1
142296821a
15154284e0
hexdc47720

230979360 has 48 divisors (see below), whose sum is σ = 727586496. Its totient is φ = 61594368.

The previous prime is 230979347. The next prime is 230979383. The reversal of 230979360 is 63979032.

230979360 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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, 240124 + ... + 241083.

It is an arithmetic number, because the mean of its divisors is an integer number (15158052).

Almost surely, 2230979360 is an apocalyptic number.

230979360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230979360 is an abundant number, since it is smaller than the sum of its proper divisors (496607136).

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

230979360 is a wasteful number, since it uses less digits than its factorization.

230979360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481225 (or 481217 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 230979360 is about 15198.0051322534. The cubic root of 230979360 is about 613.5609688539.

The spelling of 230979360 in words is "two hundred thirty million, nine hundred seventy-nine thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 481207 962414 1443621 1924828 2406035 2887242 3849656 4812070 5774484 7218105 7699312 9624140 11548968 14436210 15398624 19248280 23097936 28872420 38496560 46195872 57744840 76993120 115489680 230979360