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230401320 = 23351920011
BaseRepresentation
bin11011011101110…
…10010100101000
3121001112121012020
431232322110220
5432440320240
634510144440
75465243652
oct1556722450
9531477166
10230401320
11109067a16
12651b2120
133896cb56
14228576d2
15153620d0
hexdbba528

230401320 has 32 divisors (see below), whose sum is σ = 691204320. Its totient is φ = 61440320.

The previous prime is 230401279. The next prime is 230401321. The reversal of 230401320 is 23104032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230401320.

It is not an unprimeable number, because it can be changed into a prime (230401321) 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, 959886 + ... + 960125.

It is an arithmetic number, because the mean of its divisors is an integer number (21600135).

Almost surely, 2230401320 is an apocalyptic number.

230401320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230401320 is an abundant number, since it is smaller than the sum of its proper divisors (460803000).

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

230401320 is a wasteful number, since it uses less digits than its factorization.

230401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920025 (or 1920021 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 230401320 is about 15178.9762500638. The cubic root of 230401320 is about 613.0487166631.

Adding to 230401320 its reverse (23104032), we get a palindrome (253505352).

The spelling of 230401320 in words is "two hundred thirty million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1920011 3840022 5760033 7680044 9600055 11520066 15360088 19200110 23040132 28800165 38400220 46080264 57600330 76800440 115200660 230401320