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2304401000 = 2353111712323
BaseRepresentation
bin1000100101011010…
…0101111001101000
312221121010200220012
42021112211321220
514204411313000
61020355151052
7111051041156
oct21126457150
95847120805
102304401000
11a82857640
125438a5488
132a95563b5
1417c0963d6
15d7490735
hex895a5e68

2304401000 has 128 divisors (see below), whose sum is σ = 6229042560. Its totient is φ = 788608000.

The previous prime is 2304400993. The next prime is 2304401059. The reversal of 2304401000 is 1044032.

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, 180839 + ... + 193161.

It is an arithmetic number, because the mean of its divisors is an integer number (48664395).

Almost surely, 22304401000 is an apocalyptic number.

2304401000 is a gapful number since it is divisible by the number (20) 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 2304401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114521280).

2304401000 is an abundant number, since it is smaller than the sum of its proper divisors (3924641560).

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

2304401000 is a wasteful number, since it uses less digits than its factorization.

2304401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12372 (or 12358 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2304401000 is about 48004.1769015989. The cubic root of 2304401000 is about 1320.8475196978.

Adding to 2304401000 its reverse (1044032), we get a palindrome (2305445032).

It can be divided in two parts, 2304 and 401000, that added together give a palindrome (403304).

The spelling of 2304401000 in words is "two billion, three hundred four million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 125 136 170 187 200 220 250 275 340 374 425 440 500 550 680 748 850 935 1000 1100 1375 1496 1700 1870 2125 2200 2750 3400 3740 4250 4675 5500 7480 8500 9350 11000 12323 17000 18700 23375 24646 37400 46750 49292 61615 93500 98584 123230 135553 187000 209491 246460 271106 308075 418982 492920 542212 616150 677765 837964 1047455 1084424 1232300 1355530 1540375 1675928 2094910 2304401 2464600 2711060 3080750 3388825 4189820 4608802 5237275 5422120 6161500 6777650 8379640 9217604 10474550 11522005 12323000 13555300 16944125 18435208 20949100 23044010 26186375 27110600 33888250 41898200 46088020 52372750 57610025 67776500 92176040 104745500 115220050 135553000 209491000 230440100 288050125 460880200 576100250 1152200500 2304401000