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2302340004 = 2233712111423
BaseRepresentation
bin1000100100111010…
…1110101110100100
312221110020222202000
42021032232232210
514203344340004
61020243045300
7111024365346
oct21116565644
95843228660
102302340004
11a8167a138
12543070830
132a8cb4283
1417babb296
15d71d4c39
hex893aeba4

2302340004 has 96 divisors (see below), whose sum is σ = 6086062080. Its totient is φ = 752522400.

The previous prime is 2302339999. The next prime is 2302340017. The reversal of 2302340004 is 4000432032.

2302340004 is digitally balanced in base 2, because in such base 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1617237 + ... + 1618659.

It is an arithmetic number, because the mean of its divisors is an integer number (63396480).

Almost surely, 22302340004 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 2302340004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3043031040).

2302340004 is an abundant number, since it is smaller than the sum of its proper divisors (3783722076).

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

2302340004 is a wasteful number, since it uses less digits than its factorization.

2302340004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 2302340004 is about 47982.7052592911. The cubic root of 2302340004 is about 1320.4536250832.

Adding to 2302340004 its reverse (4000432032), we get a palindrome (6302772036).

The spelling of 2302340004 in words is "two billion, three hundred two million, three hundred forty thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 211 213 284 422 426 633 639 844 852 1266 1278 1423 1899 1917 2532 2556 2846 3798 3834 4269 5692 5697 7596 7668 8538 11394 12807 14981 17076 22788 25614 29962 38421 44943 51228 59924 76842 89886 101033 134829 153684 179772 202066 269658 300253 303099 404132 404487 539316 600506 606198 808974 900759 909297 1201012 1212396 1617948 1801518 1818594 2702277 2727891 3603036 3637188 5404554 5455782 8106831 10809108 10911564 16213662 21317963 32427324 42635926 63953889 85271852 127907778 191861667 255815556 383723334 575585001 767446668 1151170002 2302340004