Search a number
-
+
24347874342 = 23112127264071
BaseRepresentation
bin10110101011001111…
…110001010000100110
32022211211211011120210
4112223033301100212
5344331023434332
615104003240250
71521235342251
oct265317612046
968754734523
1024347874342
11a364816400
124876079086
1323b03b9b4c
14126d912098
15977809ecc
hex5ab3f1426

24347874342 has 48 divisors (see below), whose sum is σ = 53946740736. Its totient is φ = 7320020400.

The previous prime is 24347874337. The next prime is 24347874371.

24347874342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 24347874291 and 24347874300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39834 + ... + 224237.

It is an arithmetic number, because the mean of its divisors is an integer number (1123890432).

Almost surely, 224347874342 is an apocalyptic number.

24347874342 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

24347874342 is an abundant number, since it is smaller than the sum of its proper divisors (29598866394).

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

24347874342 is a wasteful number, since it uses less digits than its factorization.

24347874342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264225 (or 264214 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 48.

The spelling of 24347874342 in words is "twenty-four billion, three hundred forty-seven million, eight hundred seventy-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 121 127 242 254 363 381 726 762 1397 2794 4191 8382 15367 30734 46101 92202 264071 528142 792213 1584426 2904781 5809562 8714343 17428686 31952591 33537017 63905182 67074034 95857773 100611051 191715546 201222102 368907187 737814374 1106721561 2213443122 4057979057 8115958114 12173937171 24347874342