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2301032304 = 243222969779
BaseRepresentation
bin1000100100100110…
…1111011101110000
312221100210112220200
42021021233131300
514203031013204
61020155035200
7111010310664
oct21111573560
95840715820
102301032304
11a8096669a
1254273bb00
132a8946c9c
1417b85a8a4
15d7027539
hex8926f770

2301032304 has 60 divisors (see below), whose sum is σ = 6467908200. Its totient is φ = 763650432.

The previous prime is 2301032303. The next prime is 2301032311. The reversal of 2301032304 is 4032301032.

2301032304 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301032303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1914 + ... + 67865.

It is an arithmetic number, because the mean of its divisors is an integer number (107798470).

Almost surely, 22301032304 is an apocalyptic number.

2301032304 is a gapful number since it is divisible by the number (24) 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 2301032304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233954100).

2301032304 is an abundant number, since it is smaller than the sum of its proper divisors (4166875896).

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

2301032304 is a wasteful number, since it uses less digits than its factorization.

2301032304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70022 (or 70013 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2301032304 is about 47969.0765389537. The cubic root of 2301032304 is about 1320.2035774170.

Adding to 2301032304 its reverse (4032301032), we get a palindrome (6333333336).

The spelling of 2301032304 in words is "two billion, three hundred one million, thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229 458 687 916 1374 1832 2061 2748 3664 4122 5496 8244 10992 16488 32976 69779 139558 209337 279116 418674 558232 628011 837348 1116464 1256022 1674696 2512044 3349392 5024088 10048176 15979391 31958782 47938173 63917564 95876346 127835128 143814519 191752692 255670256 287629038 383505384 575258076 767010768 1150516152 2301032304