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2300485104 = 2433832773
BaseRepresentation
bin1000100100011110…
…1001110111110000
312221022202202022000
42021013221313300
514202411010404
61020135214000
7111002541441
oct21107516760
95838682260
102300485104
11a80622565
12542517300
132a87b4bb8
1417b7572c8
15d6e6a339
hex891e9df0

2300485104 has 120 divisors (see below), whose sum is σ = 6692406480. Its totient is φ = 756609408.

The previous prime is 2300485091. The next prime is 2300485111. The reversal of 2300485104 is 4015840032.

2300485104 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2975662 + ... + 2976434.

It is an arithmetic number, because the mean of its divisors is an integer number (55770054).

Almost surely, 22300485104 is an apocalyptic number.

2300485104 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 2300485104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346203240).

2300485104 is an abundant number, since it is smaller than the sum of its proper divisors (4391921376).

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

2300485104 is an equidigital number, since it uses as much as digits as its factorization.

2300485104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2300485104 is about 47963.3725252927. The cubic root of 2300485104 is about 1320.0989182069.

The spelling of 2300485104 in words is "two billion, three hundred million, four hundred eighty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 83 108 144 166 216 249 332 432 498 664 747 773 996 1328 1494 1546 1992 2241 2319 2988 3092 3984 4482 4638 5976 6184 6889 6957 8964 9276 11952 12368 13778 13914 17928 18552 20667 20871 27556 27828 35856 37104 41334 41742 55112 55656 62001 64159 82668 83484 110224 111312 124002 128318 165336 166968 186003 192477 248004 256636 330672 333936 372006 384954 496008 513272 577431 744012 769908 992016 1026544 1154862 1488024 1539816 1732293 2309724 2976048 3079632 3464586 4619448 5325197 6929172 9238896 10650394 13858344 15975591 21300788 27716688 31951182 42601576 47926773 63902364 85203152 95853546 127804728 143780319 191707092 255609456 287560638 383414184 575121276 766828368 1150242552 2300485104