Search a number
-
+
6361830440 = 2357171336519
BaseRepresentation
bin1011110110011000…
…11101010000101000
3121102100220110201122
411323030131100220
5101012112033230
62531140034412
7313436444420
oct57314352050
917370813648
106361830440
1127750a6409
121296692a08
137a5034a14
14444cb9480
152737abbe5
hex17b31d428

6361830440 has 64 divisors (see below), whose sum is σ = 17321299200. Its totient is φ = 2052891648.

The previous prime is 6361830407. The next prime is 6361830443. The reversal of 6361830440 is 440381636.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 6361830440.

It is not an unprimeable number, because it can be changed into a prime (6361830443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663500 + ... + 673019.

It is an arithmetic number, because the mean of its divisors is an integer number (270645300).

Almost surely, 26361830440 is an apocalyptic number.

It is an amenable number.

6361830440 is an abundant number, since it is smaller than the sum of its proper divisors (10959468760).

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

6361830440 is a wasteful number, since it uses less digits than its factorization.

6361830440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336554 (or 1336550 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 6361830440 is about 79761.0834931422. The cubic root of 6361830440 is about 1852.9371837878.

The spelling of 6361830440 in words is "six billion, three hundred sixty-one million, eight hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 952 1190 2380 4760 1336519 2673038 5346076 6682595 9355633 10692152 13365190 18711266 22720823 26730380 37422532 45441646 46778165 53460760 74845064 90883292 93556330 113604115 159045761 181766584 187112660 227208230 318091522 374225320 454416460 636183044 795228805 908832920 1272366088 1590457610 3180915220 6361830440