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2304213132 = 2231383251709
BaseRepresentation
bin1000100101010111…
…1000000010001100
312221120210011012010
42021111320002030
514204334310012
61020351141220
7111046326354
oct21125700214
95846704163
102304213132
11a82739481
12543814810
132a94bba30
1417c047b64
15d7454c3c
hex8957808c

2304213132 has 96 divisors (see below), whose sum is σ = 5891477760. Its totient is φ = 696672000.

The previous prime is 2304213089. The next prime is 2304213187. The reversal of 2304213132 is 2313124032.

It is a junction number, because it is equal to n+sod(n) for n = 2304213099 and 2304213108.

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, 3249594 + ... + 3250302.

It is an arithmetic number, because the mean of its divisors is an integer number (61369560).

Almost surely, 22304213132 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 2304213132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945738880).

2304213132 is an abundant number, since it is smaller than the sum of its proper divisors (3587264628).

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

2304213132 is a wasteful number, since it uses less digits than its factorization.

2304213132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2304213132 is about 48002.2200736591. The cubic root of 2304213132 is about 1320.8116243645.

Adding to 2304213132 its reverse (2313124032), we get a palindrome (4617337164).

The spelling of 2304213132 in words is "two billion, three hundred four million, two hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 83 156 166 249 251 332 498 502 709 753 996 1004 1079 1418 1506 2127 2158 2836 3012 3237 3263 4254 4316 6474 6526 8508 9217 9789 12948 13052 18434 19578 20833 27651 36868 39156 41666 55302 58847 62499 83332 110604 117694 124998 176541 177959 235388 249996 270829 353082 355918 533877 541658 706164 711836 765011 812487 1067754 1083316 1530022 1624974 2135508 2295033 2313467 3060044 3249948 4590066 4626934 6940401 9180132 9253868 13880802 14770597 27761604 29541194 44311791 59082388 88623582 177247164 192017761 384035522 576053283 768071044 1152106566 2304213132