Search a number
-
+
3034640032 = 25436833229
BaseRepresentation
bin1011010011100000…
…1110111010100000
321211111012200112021
42310320032322200
522203331440112
61221042511224
7135126005014
oct26470167240
97744180467
103034640032
111317a7aa76
12708365514
133949224b8
1420b062544
1512b637907
hexb4e0eea0

3034640032 has 48 divisors (see below), whose sum is σ = 6124235040. Its totient is φ = 1479405312.

The previous prime is 3034639931. The next prime is 3034640093. The reversal of 3034640032 is 2300464303.

It is a super-2 number, since 2×30346400322 = 18418080247633922048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3034639979 and 3034640006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 938194 + ... + 941422.

It is an arithmetic number, because the mean of its divisors is an integer number (127588230).

Almost surely, 23034640032 is an apocalyptic number.

3034640032 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 3034640032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062117520).

3034640032 is an abundant number, since it is smaller than the sum of its proper divisors (3089595008).

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

3034640032 is a wasteful number, since it uses less digits than its factorization.

3034640032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3965 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

The square root of 3034640032 is about 55087.5669457274. The cubic root of 3034640032 is about 1447.7794043446.

The spelling of 3034640032 in words is "three billion, thirty-four million, six hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 43 86 172 344 683 688 1366 1376 2732 3229 5464 6458 10928 12916 21856 25832 29369 51664 58738 103328 117476 138847 234952 277694 469904 555388 939808 1110776 2205407 2221552 4410814 4443104 8821628 17643256 35286512 70573024 94832501 189665002 379330004 758660008 1517320016 3034640032