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2342664252 = 2232436124809
BaseRepresentation
bin1000101110100010…
…0011100000111100
320001021010200012200
42023220203200330
514244210224002
61024243231500
7112024213635
oct21350434074
96037120180
102342664252
11aa2411365
12554678590
132b4462586
141831b688c
15da9ecb1c
hex8ba2383c

2342664252 has 72 divisors (see below), whose sum is σ = 6159032880. Its totient is φ = 750193920.

The previous prime is 2342664251. The next prime is 2342664257. The reversal of 2342664252 is 2524662432.

2342664252 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 6 + 642 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342664251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82024 + ... + 106832.

Almost surely, 22342664252 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 2342664252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079516440).

2342664252 is an abundant number, since it is smaller than the sum of its proper divisors (3816368628).

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

2342664252 is a wasteful number, since it uses less digits than its factorization.

2342664252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24923 (or 24918 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 2342664252 is about 48401.0769714890. The cubic root of 2342664252 is about 1328.1180634559.

It can be divided in two parts, 23426 and 64252, that added together give a palindrome (87678).

The spelling of 2342664252 in words is "two billion, three hundred forty-two million, six hundred sixty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 61 86 122 129 172 183 244 258 366 387 516 549 732 774 1098 1548 2196 2623 5246 7869 10492 15738 23607 24809 31476 47214 49618 74427 94428 99236 148854 223281 297708 446562 893124 1066787 1513349 2133574 3026698 3200361 4267148 4540047 6053396 6400722 9080094 9601083 12801444 13620141 18160188 19202166 27240282 38404332 54480564 65074007 130148014 195222021 260296028 390444042 585666063 780888084 1171332126 2342664252