Search a number
-
+
334774044 = 2232114717987
BaseRepresentation
bin10011111101000…
…011111100011100
3212022221021122200
4103331003330130
51141200232134
653115211500
711203350423
oct2375037434
9768837580
10334774044
11161a75770
1294146b90
1354484a67
14326662ba
151e5cc499
hex13f43f1c

334774044 has 72 divisors (see below), whose sum is σ = 942859008. Its totient is φ = 99282720.

The previous prime is 334774043. The next prime is 334774073. The reversal of 334774044 is 440477433.

It is a super-2 number, since 2×3347740442 = 224147321072227872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334774043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9619 + ... + 27605.

It is an arithmetic number, because the mean of its divisors is an integer number (13095264).

Almost surely, 2334774044 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 334774044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471429504).

334774044 is an abundant number, since it is smaller than the sum of its proper divisors (608084964).

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

334774044 is a wasteful number, since it uses less digits than its factorization.

334774044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18055 (or 18050 counting only the distinct ones).

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

The square root of 334774044 is about 18296.8315289834. The cubic root of 334774044 is about 694.3587716068.

The spelling of 334774044 in words is "three hundred thirty-four million, seven hundred seventy-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 1034 1551 1692 2068 3102 4653 6204 9306 17987 18612 35974 53961 71948 107922 161883 197857 215844 323766 395714 593571 647532 791428 845389 1187142 1690778 1780713 2374284 2536167 3381556 3561426 5072334 7122852 7608501 9299279 10144668 15217002 18598558 27897837 30434004 37197116 55795674 83693511 111591348 167387022 334774044