Search a number
-
+
3316462144 = 26374672999
BaseRepresentation
bin1100010110101101…
…0011001001000000
322120010111201210021
43011223103021000
523243003242034
61305031143224
7145120314562
oct30553231100
98503451707
103316462144
111452069106
12786814b14
1340b127348
14236663332
151462556b4
hexc5ad3240

3316462144 has 56 divisors (see below), whose sum is σ = 6775704000. Its totient is φ = 1609422336.

The previous prime is 3316462139. The next prime is 3316462147. The reversal of 3316462144 is 4412646133.

It is not an unprimeable number, because it can be changed into a prime (3316462147) by changing a digit.

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, 1104357 + ... + 1107355.

Almost surely, 23316462144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3316462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3387852000).

3316462144 is an abundant number, since it is smaller than the sum of its proper divisors (3459241856).

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

3316462144 is a wasteful number, since it uses less digits than its factorization.

3316462144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3505 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

The square root of 3316462144 is about 57588.7327868916. The cubic root of 3316462144 is about 1491.2770973450.

The spelling of 3316462144 in words is "three billion, three hundred sixteen million, four hundred sixty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 148 296 467 592 934 1184 1868 2368 2999 3736 5998 7472 11996 14944 17279 23992 29888 34558 47984 69116 95968 110963 138232 191936 221926 276464 443852 552928 887704 1105856 1400533 1775408 2801066 3550816 5602132 7101632 11204264 22408528 44817056 51819721 89634112 103639442 207278884 414557768 829115536 1658231072 3316462144