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2434332152 = 2372291971087
BaseRepresentation
bin1001000100011000…
…1111010111111000
320021122121212221002
42101012033113320
514441142112102
61041320104132
7114216324200
oct22106172770
96248555832
102434332152
11103a13185a
1257b305048
132ca449735
14191439400
15e3aa8902
hex9118f5f8

2434332152 has 96 divisors (see below), whose sum is σ = 5525625600. Its totient is φ = 1001274624.

The previous prime is 2434332137. The next prime is 2434332191. The reversal of 2434332152 is 2512334342.

It is a happy number.

2434332152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24343321522 = 11851946052521902208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2238953 + ... + 2240039.

It is an arithmetic number, because the mean of its divisors is an integer number (57558600).

Almost surely, 22434332152 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 2434332152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762812800).

2434332152 is an abundant number, since it is smaller than the sum of its proper divisors (3091293448).

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

2434332152 is a wasteful number, since it uses less digits than its factorization.

2434332152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1322 counting only the distinct ones).

The product of its digits is 17280, while the sum is 29.

The square root of 2434332152 is about 49338.9516710682. The cubic root of 2434332152 is about 1345.2198849103.

Adding to 2434332152 its reverse (2512334342), we get a palindrome (4946666494).

The spelling of 2434332152 in words is "two billion, four hundred thirty-four million, three hundred thirty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 197 203 232 392 394 406 788 812 1087 1379 1421 1576 1624 2174 2758 2842 4348 5516 5684 5713 7609 8696 9653 11032 11368 11426 15218 19306 22852 30436 31523 38612 39991 45704 53263 60872 63046 77224 79982 106526 126092 159964 213052 214139 220661 252184 279937 319928 426104 428278 441322 559874 856556 882644 1119748 1498973 1544627 1713112 1765288 2239496 2997946 3089254 5995892 6178508 6210031 10492811 11991784 12357016 12420062 20985622 24840124 41971244 43470217 49680248 83942488 86940434 173880868 304291519 347761736 608583038 1217166076 2434332152