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2312303004 = 22331116311941
BaseRepresentation
bin1000100111010010…
…1111000110011100
312222011000011102000
42021310233012130
514213422144004
61021240402300
7111205152114
oct21164570634
95864004360
102312303004
11a87264520
12546476390
132ab09203b
1417d152044
15d8001c39
hex89d2f19c

2312303004 has 96 divisors (see below), whose sum is σ = 6580519680. Its totient is φ = 696340800.

The previous prime is 2312303003. The next prime is 2312303029. The reversal of 2312303004 is 4003032132.

2312303004 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 (2312303003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187674 + ... + 199614.

It is an arithmetic number, because the mean of its divisors is an integer number (68547080).

Almost surely, 22312303004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312303004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290259840).

2312303004 is an abundant number, since it is smaller than the sum of its proper divisors (4268216676).

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

2312303004 is a wasteful number, since it uses less digits than its factorization.

2312303004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12128 (or 12120 counting only the distinct ones).

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

The square root of 2312303004 is about 48086.4118436799. The cubic root of 2312303004 is about 1322.3555666705.

Adding to 2312303004 its reverse (4003032132), we get a palindrome (6315335136).

The spelling of 2312303004 in words is "two billion, three hundred twelve million, three hundred three thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 163 198 297 326 396 489 594 652 978 1188 1467 1793 1956 2934 3586 4401 5379 5868 7172 8802 10758 11941 16137 17604 21516 23882 32274 35823 47764 48411 64548 71646 96822 107469 131351 143292 193644 214938 262702 322407 394053 429876 525404 644814 788106 1182159 1289628 1576212 1946383 2364318 3546477 3892766 4728636 5839149 7092954 7785532 11678298 14185908 17517447 21410213 23356596 35034894 42820426 52552341 64230639 70069788 85640852 105104682 128461278 192691917 210209364 256922556 385383834 578075751 770767668 1156151502 2312303004