Search a number
-
+
2117944304 = 247311075701
BaseRepresentation
bin111111000111101…
…0100001111110000
312110121021201101122
41332033110033300
513314143204204
6550054521412
7103325141510
oct17617241760
95417251348
102117944304
119975849a3
124b1366268
13279a316a8
141613db840
15c5e0e0be
hex7e3d43f0

2117944304 has 80 divisors (see below), whose sum is σ = 4887115776. Its totient is φ = 870048000.

The previous prime is 2117944261. The next prime is 2117944313. The reversal of 2117944304 is 4034497112.

It is a happy number.

It is a congruent number.

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, 368654 + ... + 374354.

Almost surely, 22117944304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117944304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443557888).

2117944304 is an abundant number, since it is smaller than the sum of its proper divisors (2769171472).

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

2117944304 is a wasteful number, since it uses less digits than its factorization.

2117944304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5854 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 2117944304 is about 46021.1288866321. The cubic root of 2117944304 is about 1284.2163013932.

The spelling of 2117944304 in words is "two billion, one hundred seventeen million, nine hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 107 112 124 214 217 248 428 434 496 749 856 868 1498 1712 1736 2996 3317 3472 5701 5992 6634 11402 11984 13268 22804 23219 26536 39907 45608 46438 53072 79814 91216 92876 159628 176731 185752 319256 353462 371504 610007 638512 706924 1220014 1237117 1413848 2440028 2474234 2827696 4270049 4880056 4948468 8540098 9760112 9896936 17080196 18910217 19793872 34160392 37820434 68320784 75640868 132371519 151281736 264743038 302563472 529486076 1058972152 2117944304