Search a number
-
+
2328415830 = 2325134148539
BaseRepresentation
bin1000101011001000…
…1100111001010110
320000021022210001100
42022302030321112
514232033301310
61023014010530
7111462131226
oct21262147126
96007283040
102328415830
11a9536a304
1254b946a46
132b1514060
14181348086
15d9635ec0
hex8ac8ce56

2328415830 has 96 divisors (see below), whose sum is σ = 6678715680. Its totient is φ = 559157760.

The previous prime is 2328415801. The next prime is 2328415891. The reversal of 2328415830 is 385148232.

2328415830 is a `hidden beast` number, since 2 + 32 + 8 + 41 + 583 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23701 + ... + 72239.

It is an arithmetic number, because the mean of its divisors is an integer number (69569955).

Almost surely, 22328415830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2328415830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339357840).

2328415830 is an abundant number, since it is smaller than the sum of its proper divisors (4350299850).

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

2328415830 is a wasteful number, since it uses less digits than its factorization.

2328415830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48606 (or 48603 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2328415830 is about 48253.6613118632. The cubic root of 2328415830 is about 1325.4199841061.

The spelling of 2328415830 in words is "two billion, three hundred twenty-eight million, four hundred fifteen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 41 45 65 78 82 90 117 123 130 195 205 234 246 369 390 410 533 585 615 738 1066 1170 1230 1599 1845 2665 3198 3690 4797 5330 7995 9594 15990 23985 47970 48539 97078 145617 242695 291234 436851 485390 631007 728085 873702 1262014 1456170 1893021 1990099 2184255 3155035 3786042 3980198 4368510 5679063 5970297 6310070 9465105 9950495 11358126 11940594 17910891 18930210 19900990 25871287 28395315 29851485 35821782 51742574 56790630 59702970 77613861 89554455 129356435 155227722 179108910 232841583 258712870 388069305 465683166 776138610 1164207915 2328415830