Search a number
-
+
3344400774 = 232111310712143
BaseRepresentation
bin1100011101010111…
…1000000110000110
322122002002011101100
43013111320012012
523322131311044
61311510040530
7145606636401
oct30725700606
98562064340
103344400774
111466910890
12794049146
13413b59c90
1423a256d38
15148923869
hexc7578186

3344400774 has 96 divisors (see below), whose sum is σ = 8593288704. Its totient is φ = 926677440.

The previous prime is 3344400749. The next prime is 3344400847. The reversal of 3344400774 is 4770044433.

It is a super-2 number, since 2×33444007742 = 22370033074263598152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269347 + ... + 281489.

It is an arithmetic number, because the mean of its divisors is an integer number (89513424).

Almost surely, 23344400774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3344400774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296644352).

3344400774 is an abundant number, since it is smaller than the sum of its proper divisors (5248887930).

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

3344400774 is a wasteful number, since it uses less digits than its factorization.

3344400774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12282 (or 12279 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The square root of 3344400774 is about 57830.7943400400. The cubic root of 3344400774 is about 1495.4530118599.

The spelling of 3344400774 in words is "three billion, three hundred forty-four million, four hundred thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 107 117 143 198 214 234 286 321 429 642 858 963 1177 1287 1391 1926 2354 2574 2782 3531 4173 7062 8346 10593 12143 12519 15301 21186 24286 25038 30602 36429 45903 72858 91806 109287 133573 137709 157859 218574 267146 275418 315718 400719 473577 801438 947154 1202157 1299301 1420731 1736449 2404314 2598602 2841462 3472898 3897903 5209347 7795806 10418694 11693709 14292311 15628041 16890913 23387418 28584622 31256082 33781826 42876933 50672739 85753866 101345478 128630799 152018217 185800043 257261598 304036434 371600086 557400129 1114800258 1672200387 3344400774