Search a number
-
+
2317074496 = 261125472
BaseRepresentation
bin1000101000011011…
…1100000001000000
312222110222120122221
42022012330001000
514221132340441
61021530540424
7111263544142
oct21206740100
95873876587
102317074496
11a89a23400
12547b97714
132ac072ac9
1417da34c92
15d86458d1
hex8a1bc040

2317074496 has 63 divisors (see below), whose sum is σ = 5063195487. Its totient is φ = 1051290240.

The previous prime is 2317074493. The next prime is 2317074499. The reversal of 2317074496 is 6944707132.

2317074496 = T6128 + T6129 + ... + T6248.

The square root of 2317074496 is 48136.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (2317074493) and next prime (2317074499).

It is a super-3 number, since 3×23170744963 (a number of 29 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2317074493) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4235695 + ... + 4236241.

Almost surely, 22317074496 is an apocalyptic number.

2317074496 is the 48136-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2317074496

2317074496 is an abundant number, since it is smaller than the sum of its proper divisors (2746120991).

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

2317074496 is an frugal number, since it uses more digits than its factorization.

2317074496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The cubic root of 2317074496 is about 1323.2645124208.

Multiplying 2317074496 by its product of nonzero digits (254016), we get a square (588573995175936 = 242605442).

The spelling of 2317074496 in words is "two billion, three hundred seventeen million, seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 547 704 968 1094 1936 2188 3872 4376 6017 7744 8752 12034 17504 24068 35008 48136 66187 96272 132374 192544 264748 299209 385088 529496 598418 1058992 1196836 2117984 2393672 3291299 4235968 4787344 6582598 9574688 13165196 19149376 26330392 36204289 52660784 72408578 105321568 144817156 210643136 289634312 579268624 1158537248 2317074496