Search a number
-
+
2384994832 = 241179337509
BaseRepresentation
bin1000111000101000…
…0010001000010000
320011012210021211221
42032022002020100
514341024313312
61032354414424
7113050056463
oct21612021020
96135707757
102384994832
1110142a3a10
12566891414
132c0163b5c
14188a752da
15de5b0207
hex8e282210

2384994832 has 80 divisors (see below), whose sum is σ = 5130028800. Its totient is φ = 1065093120.

The previous prime is 2384994793. The next prime is 2384994841.

2384994832 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2384994832.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4685394 + ... + 4685902.

It is an arithmetic number, because the mean of its divisors is an integer number (64125360).

Almost surely, 22384994832 is an apocalyptic number.

2384994832 is a gapful number since it is divisible by the number (22) 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 2384994832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2565014400).

2384994832 is an abundant number, since it is smaller than the sum of its proper divisors (2745033968).

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

2384994832 is a wasteful number, since it uses less digits than its factorization.

2384994832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 938 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 52.

The square root of 2384994832 is about 48836.4088769844. The cubic root of 2384994832 is about 1336.0697998600.

The spelling of 2384994832 in words is "two billion, three hundred eighty-four million, nine hundred ninety-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 79 88 158 176 316 337 509 632 674 869 1018 1264 1348 1738 2036 2696 3476 3707 4072 5392 5599 6952 7414 8144 11198 13904 14828 22396 26623 29656 40211 44792 53246 59312 80422 89584 106492 160844 171533 212984 292853 321688 343066 425968 442321 585706 643376 686132 884642 1171412 1372264 1769284 1886863 2342824 2744528 3538568 3773726 4685648 7077136 7547452 13551107 15094904 27102214 30189808 54204428 108408856 149062177 216817712 298124354 596248708 1192497416 2384994832