Search a number
-
+
3114334432 = 251123937019
BaseRepresentation
bin1011100110100000…
…1111100011100000
322001001011120200201
42321220033203200
522334232200212
61233010554544
7140114256136
oct27150174340
98031146621
103114334432
111358a62610
1272ab98a54
133a82a6751
14217889756
1513362ab57
hexb9a0f8e0

3114334432 has 48 divisors (see below), whose sum is σ = 6716908800. Its totient is φ = 1409645440.

The previous prime is 3114334417. The next prime is 3114334451. The reversal of 3114334432 is 2344334113.

It is a self number, because there is not a number n which added to its sum of digits gives 3114334432.

It is a congruent number.

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, 65619 + ... + 102637.

It is an arithmetic number, because the mean of its divisors is an integer number (139935600).

Almost surely, 23114334432 is an apocalyptic number.

3114334432 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 3114334432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3358454400).

3114334432 is an abundant number, since it is smaller than the sum of its proper divisors (3602574368).

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

3114334432 is a wasteful number, since it uses less digits than its factorization.

3114334432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37279 (or 37271 counting only the distinct ones).

The product of its digits is 10368, while the sum is 28.

The square root of 3114334432 is about 55806.2221620493. Note that the first 3 decimals coincide. The cubic root of 3114334432 is about 1460.3437034061.

Adding to 3114334432 its reverse (2344334113), we get a palindrome (5458668545).

The spelling of 3114334432 in words is "three billion, one hundred fourteen million, three hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 239 352 478 956 1912 2629 3824 5258 7648 10516 21032 37019 42064 74038 84128 148076 296152 407209 592304 814418 1184608 1628836 3257672 6515344 8847541 13030688 17695082 35390164 70780328 97322951 141560656 194645902 283121312 389291804 778583608 1557167216 3114334432