Search a number
-
+
2423431340 = 22511234091171
BaseRepresentation
bin1001000001110010…
…1010000010101100
320020220010001211022
42100130222002230
514430344300330
61040250313312
7114024553331
oct22034520254
96226101738
102423431340
111033a66920
12577728838
132c8100b55
1418dbdc988
15e2b53ae5
hex9072a0ac

2423431340 has 96 divisors (see below), whose sum is σ = 5812369920. Its totient is φ = 840153600.

The previous prime is 2423431331. The next prime is 2423431393. The reversal of 2423431340 is 431343242.

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, 2068955 + ... + 2070125.

It is an arithmetic number, because the mean of its divisors is an integer number (60545520).

Almost surely, 22423431340 is an apocalyptic number.

2423431340 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 2423431340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906184960).

2423431340 is an abundant number, since it is smaller than the sum of its proper divisors (3388938580).

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

2423431340 is a wasteful number, since it uses less digits than its factorization.

2423431340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 2423431340 is about 49228.3591032649. The cubic root of 2423431340 is about 1343.2089388610.

Adding to 2423431340 its reverse (431343242), we get a palindrome (2854774582).

The spelling of 2423431340 in words is "two billion, four hundred twenty-three million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 409 460 506 818 1012 1171 1265 1636 2045 2342 2530 4090 4499 4684 5060 5855 8180 8998 9407 11710 12881 17996 18814 22495 23420 25762 26933 37628 44990 47035 51524 53866 64405 89980 94070 103477 107732 128810 134665 188140 206954 257620 269330 296263 413908 478939 517385 538660 592526 957878 1034770 1185052 1481315 1915756 2069540 2394695 2962630 4789390 5268329 5925260 9578780 10536658 11015597 21073316 22031194 26341645 44062388 52683290 55077985 105366580 110155970 121171567 220311940 242343134 484686268 605857835 1211715670 2423431340