Search a number
-
+
2331041634 = 2322941108917
BaseRepresentation
bin1000101011110000…
…1101111101100010
320000110021011222100
42022330031331202
514233221313014
61023150151230
7111523345515
oct21274157542
96013234870
102331041634
11a968a3099
125507b2516
132b1c2329c
1418182cd7c
15d99a4009
hex8af0df62

2331041634 has 48 divisors (see below), whose sum is σ = 5352230520. Its totient is φ = 731915520.

The previous prime is 2331041633. The next prime is 2331041639. The reversal of 2331041634 is 4361401332.

2331041634 is a `hidden beast` number, since 23 + 3 + 1 + 0 + 4 + 1 + 634 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2058890625 + 272151009 = 45375^2 + 16497^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2331041598 and 2331041607.

It is not an unprimeable number, because it can be changed into a prime (2331041633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33057 + ... + 75860.

Almost surely, 22331041634 is an apocalyptic number.

2331041634 is an abundant number, since it is smaller than the sum of its proper divisors (3021188886).

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

2331041634 is a wasteful number, since it uses less digits than its factorization.

2331041634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108995 (or 108992 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2331041634 is about 48280.8619848486. The cubic root of 2331041634 is about 1325.9180316919.

Adding to 2331041634 its reverse (4361401332), we get a palindrome (6692442966).

The spelling of 2331041634 in words is "two billion, three hundred thirty-one million, forty-one thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 41 58 82 87 123 174 246 261 369 522 738 1189 2378 3567 7134 10701 21402 108917 217834 326751 653502 980253 1960506 3158593 4465597 6317186 8931194 9475779 13396791 18951558 26793582 28427337 40190373 56854674 80380746 129502313 259004626 388506939 777013878 1165520817 2331041634