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3432130032 = 243316773407
BaseRepresentation
bin1100110010010010…
…0010010111110000
322212012011021022010
43030210202113300
524012111130112
61324322242520
7151023424002
oct31444422760
98765137263
103432130032
111501391101
127b94b6440
13429095496
14247b72372
151514a263c
hexcc9225f0

3432130032 has 80 divisors (see below), whose sum is σ = 9168556032. Its totient is φ = 1105178880.

The previous prime is 3432130003. The next prime is 3432130067. The reversal of 3432130032 is 2300312343.

It is a junction number, because it is equal to n+sod(n) for n = 3432129990 and 3432130008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005673 + ... + 1009079.

Almost surely, 23432130032 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 3432130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584278016).

3432130032 is an abundant number, since it is smaller than the sum of its proper divisors (5736426000).

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

3432130032 is a wasteful number, since it uses less digits than its factorization.

3432130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3432130032 is about 58584.3838578166. The cubic root of 3432130032 is about 1508.4163963034.

Adding to 3432130032 its reverse (2300312343), we get a palindrome (5732442375).

The spelling of 3432130032 in words is "three billion, four hundred thirty-two million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 677 744 1354 1488 2031 2708 3407 4062 5416 6814 8124 10221 10832 13628 16248 20442 20987 27256 32496 40884 41974 54512 62961 81768 83948 105617 125922 163536 167896 211234 251844 316851 335792 422468 503688 633702 844936 1007376 1267404 1689872 2306539 2534808 4613078 5069616 6919617 9226156 13839234 18452312 27678468 36904624 55356936 71502709 110713872 143005418 214508127 286010836 429016254 572021672 858032508 1144043344 1716065016 3432130032