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3201422432 = 251321095431
BaseRepresentation
bin1011111011010001…
…1101010001100000
322021010001002222012
42332310131101200
523024031004212
61245401332052
7142222433045
oct27664352140
98233032865
103201422432
1113a313506a
12754197028
133c0349100
142252791cc
1513b0ce922
hexbed1d460

3201422432 has 72 divisors (see below), whose sum is σ = 6888808080. Its totient is φ = 1463754240.

The previous prime is 3201422407. The next prime is 3201422453. The reversal of 3201422432 is 2342241023.

3201422432 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 2×32014224322 = 20498211176225589248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3201422398 and 3201422407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586757 + ... + 592187.

It is an arithmetic number, because the mean of its divisors is an integer number (95677890).

Almost surely, 23201422432 is an apocalyptic number.

3201422432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444404040).

3201422432 is an abundant number, since it is smaller than the sum of its proper divisors (3687385648).

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

3201422432 is a wasteful number, since it uses less digits than its factorization.

3201422432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5576 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3201422432 is about 56581.1137394802. The cubic root of 3201422432 is about 1473.8309122908.

Adding to 3201422432 its reverse (2342241023), we get a palindrome (5543663455).

The spelling of 3201422432 in words is "three billion, two hundred one million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 109 169 208 218 338 416 436 676 872 1352 1417 1744 2704 2834 3488 5408 5431 5668 10862 11336 18421 21724 22672 36842 43448 45344 70603 73684 86896 141206 147368 173792 282412 294736 564824 589472 591979 917839 1129648 1183958 1835678 2259296 2367916 3671356 4735832 7342712 7695727 9471664 14685424 15391454 18943328 29370848 30782908 61565816 100044451 123131632 200088902 246263264 400177804 800355608 1600711216 3201422432