Search a number
-
+
3314466304 = 2971731249
BaseRepresentation
bin1100010110001110…
…1011111000000000
322112222202100000021
43011203223320000
523242000410204
61304520303224
7145064333032
oct30543537000
98488670007
103314466304
111450a25656
12786011b14
1340a8a8a86
142362a3c52
15145eae154
hexc58ebe00

3314466304 has 80 divisors (see below), whose sum is σ = 6813180000. Its totient is φ = 1610219520.

The previous prime is 3314466227. The next prime is 3314466317. The reversal of 3314466304 is 4036644133.

It is a self number, because there is not a number n which added to its sum of digits gives 3314466304.

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, 2653072 + ... + 2654320.

It is an arithmetic number, because the mean of its divisors is an integer number (85164750).

Almost surely, 23314466304 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 3314466304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3406590000).

3314466304 is an abundant number, since it is smaller than the sum of its proper divisors (3498713696).

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

3314466304 is an equidigital number, since it uses as much as digits as its factorization.

3314466304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

The square root of 3314466304 is about 57571.4017894301. The cubic root of 3314466304 is about 1490.9778881671.

The spelling of 3314466304 in words is "three billion, three hundred fourteen million, four hundred sixty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 71 73 128 142 146 256 284 292 512 568 584 1136 1168 1249 2272 2336 2498 4544 4672 4996 5183 9088 9344 9992 10366 18176 18688 19984 20732 36352 37376 39968 41464 79936 82928 88679 91177 159872 165856 177358 182354 319744 331712 354716 364708 639488 663424 709432 729416 1326848 1418864 1458832 2653696 2837728 2917664 5675456 5835328 6473567 11350912 11670656 12947134 22701824 23341312 25894268 45403648 46682624 51788536 103577072 207154144 414308288 828616576 1657233152 3314466304