Search a number
-
+
3112534432 = 25723226267
BaseRepresentation
bin1011100110000101…
…1000000110100000
322000220210010120001
42321201120012200
522333302100212
61232504225344
7140063051260
oct27141300640
98026703501
103112534432
111357a43207
1272a46b254
133a7ac6367
1421753b7a0
151333c2657
hexb98581a0

3112534432 has 72 divisors (see below), whose sum is σ = 7321206816. Its totient is φ = 1275897216.

The previous prime is 3112534429. The next prime is 3112534459. The reversal of 3112534432 is 2344352113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3112534432.

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, 105363 + ... + 131629.

It is an arithmetic number, because the mean of its divisors is an integer number (101683428).

Almost surely, 23112534432 is an apocalyptic number.

3112534432 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 3112534432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660603408).

3112534432 is an abundant number, since it is smaller than the sum of its proper divisors (4208672384).

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

3112534432 is a wasteful number, since it uses less digits than its factorization.

3112534432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26330 (or 26299 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 3112534432 is about 55790.0925971628. The cubic root of 3112534432 is about 1460.0623029646.

Adding to 3112534432 its reverse (2344352113), we get a palindrome (5456886545).

The spelling of 3112534432 in words is "three billion, one hundred twelve million, five hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 529 644 736 1058 1288 2116 2576 3703 4232 5152 7406 8464 14812 16928 26267 29624 52534 59248 105068 118496 183869 210136 367738 420272 604141 735476 840544 1208282 1470952 2416564 2941904 4228987 4833128 5883808 8457974 9666256 13895243 16915948 19332512 27790486 33831896 55580972 67663792 97266701 111161944 135327584 194533402 222323888 389066804 444647776 778133608 1556267216 3112534432