Search a number
-
+
264814340 = 22577732447
BaseRepresentation
bin11111100100010…
…11111100000100
3200110021221222112
433302023330010
51020243024330
642135520152
76363612320
oct1762137404
9613257875
10264814340
11126531a2a
1274829058
1342b2b69b
1427254980
15183ad795
hexfc8bf04

264814340 has 48 divisors (see below), whose sum is σ = 636636672. Its totient is φ = 90638976.

The previous prime is 264814337. The next prime is 264814373. The reversal of 264814340 is 43418462.

It is a junction number, because it is equal to n+sod(n) for n = 264814297 and 264814306.

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, 106997 + ... + 109443.

It is an arithmetic number, because the mean of its divisors is an integer number (13263264).

Almost surely, 2264814340 is an apocalyptic number.

264814340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264814340 is an abundant number, since it is smaller than the sum of its proper divisors (371822332).

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

264814340 is a wasteful number, since it uses less digits than its factorization.

264814340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 264814340 is about 16273.1170953816. The cubic root of 264814340 is about 642.1657908472.

The spelling of 264814340 in words is "two hundred sixty-four million, eight hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 773 1546 2447 3092 3865 4894 5411 7730 9788 10822 12235 15460 17129 21644 24470 27055 34258 48940 54110 68516 85645 108220 171290 342580 1891531 3783062 7566124 9457655 13240717 18915310 26481434 37830620 52962868 66203585 132407170 264814340