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2304324024 = 23317113151331
BaseRepresentation
bin1000100101011001…
…0011000110111000
312221120222210022020
42021112103012320
514204401332044
61020353354440
7111050300562
oct21126230670
95846883266
102304324024
11a82804822
12543868a20
132a952a352
1417c076332
15d7477a19
hex895931b8

2304324024 has 128 divisors (see below), whose sum is σ = 6213127680. Its totient is φ = 709632000.

The previous prime is 2304324019. The next prime is 2304324067. The reversal of 2304324024 is 4204234032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2304323985 and 2304324003.

It is a congruent number.

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, 6961539 + ... + 6961869.

It is an arithmetic number, because the mean of its divisors is an integer number (48540060).

Almost surely, 22304324024 is an apocalyptic number.

2304324024 is a gapful number since it is divisible by the number (24) 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 2304324024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106563840).

2304324024 is an abundant number, since it is smaller than the sum of its proper divisors (3908803656).

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

2304324024 is a wasteful number, since it uses less digits than its factorization.

2304324024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2304324024 is about 48003.3751313384. The cubic root of 2304324024 is about 1320.8328123775.

Adding to 2304324024 its reverse (4204234032), we get a palindrome (6508558056).

The spelling of 2304324024 in words is "two billion, three hundred four million, three hundred twenty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 113 136 151 204 226 302 331 339 408 452 453 604 662 678 904 906 993 1208 1324 1356 1812 1921 1986 2567 2648 2712 3624 3842 3972 5134 5627 5763 7684 7701 7944 10268 11254 11526 15368 15402 16881 17063 20536 22508 23052 30804 33762 34126 37403 45016 46104 49981 51189 61608 67524 68252 74806 99962 102378 112209 135048 136504 149612 149943 199924 204756 224418 290071 299224 299886 399848 409512 448836 580142 599772 635851 849677 870213 897672 1160284 1199544 1271702 1699354 1740426 1907553 2320568 2543404 2549031 3398708 3480852 3815106 5086808 5098062 5647853 6797416 6961704 7630212 10196124 11295706 15260424 16943559 20392248 22591412 33887118 45182824 67774236 96013501 135548472 192027002 288040503 384054004 576081006 768108008 1152162012 2304324024