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3191734432 = 252914092441
BaseRepresentation
bin1011111000111110…
…0000000010100000
322020102210220112101
42332033200002200
523014041000212
61244413540144
7142044203125
oct27617400240
98212726471
103191734432
111398718357
12750aa4654
133bb336573
14223c7674c
1513a319157
hexbe3e00a0

3191734432 has 48 divisors (see below), whose sum is σ = 6507685800. Its totient is φ = 1539112960.

The previous prime is 3191734417. The next prime is 3191734451. The reversal of 3191734432 is 2344371913.

It can be written as a sum of positive squares in 4 ways, for example, as 1076102416 + 2115632016 = 32804^2 + 45996^2 .

It is a super-5 number, since 5×31917344325 (a number of 49 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3191734391 and 3191734400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1306332 + ... + 1308772.

Almost surely, 23191734432 is an apocalyptic number.

3191734432 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 3191734432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253842900).

3191734432 is an abundant number, since it is smaller than the sum of its proper divisors (3315951368).

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

3191734432 is a wasteful number, since it uses less digits than its factorization.

3191734432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3881 counting only the distinct ones).

The product of its digits is 54432, while the sum is 37.

The square root of 3191734432 is about 56495.4372670926. The cubic root of 3191734432 is about 1472.3427299382.

The spelling of 3191734432 in words is "three billion, one hundred ninety-one million, seven hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 1409 2441 2818 4882 5636 9764 11272 19528 22544 39056 40861 45088 70789 78112 81722 141578 163444 283156 326888 566312 653776 1132624 1307552 2265248 3439369 6878738 13757476 27514952 55029904 99741701 110059808 199483402 398966804 797933608 1595867216 3191734432