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3432242232 = 2332196737447
BaseRepresentation
bin1100110010010011…
…1101110000111000
322212012100222012200
43030210331300320
524012123222412
61324324510200
7151024402056
oct31444756070
98765328180
103432242232
111501458431
127b954b360
13429104583
14247ba11d6
151514c59dc
hexcc93dc38

3432242232 has 96 divisors (see below), whose sum is σ = 9931209600. Its totient is φ = 1067660352.

The previous prime is 3432242189. The next prime is 3432242239. The reversal of 3432242232 is 2322422343.

It is a happy number.

3432242232 is a `hidden beast` number, since 3 + 432 + 2 + 4 + 223 + 2 = 666.

3432242232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3432242196 and 3432242205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3432242239) 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, 72933 + ... + 110379.

It is an arithmetic number, because the mean of its divisors is an integer number (103450100).

Almost surely, 23432242232 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 3432242232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4965604800).

3432242232 is an abundant number, since it is smaller than the sum of its proper divisors (6498967368).

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

3432242232 is a wasteful number, since it uses less digits than its factorization.

3432242232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37545 (or 37538 counting only the distinct ones).

The product of its digits is 13824, while the sum is 27.

The square root of 3432242232 is about 58585.3414430607. The cubic root of 3432242232 is about 1508.4328333725.

Adding to 3432242232 its reverse (2322422343), we get a palindrome (5754664575).

The spelling of 3432242232 in words is "three billion, four hundred thirty-two million, two hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 67 72 76 114 134 152 171 201 228 268 342 402 456 536 603 684 804 1206 1273 1368 1608 2412 2546 3819 4824 5092 7638 10184 11457 15276 22914 30552 37447 45828 74894 91656 112341 149788 224682 299576 337023 449364 674046 711493 898728 1348092 1422986 2134479 2508949 2696184 2845972 4268958 5017898 5691944 6403437 7526847 8537916 10035796 12806874 15053694 17075832 20071592 22580541 25613748 30107388 45161082 47670031 51227496 60214776 90322164 95340062 143010093 180644328 190680124 286020186 381360248 429030279 572040372 858060558 1144080744 1716121116 3432242232