Search a number
-
+
241051404 = 2231119223431
BaseRepresentation
bin11100101111000…
…10011100001100
3121210120200100210
432113202130030
5443202121104
635530322420
75654621526
oct1627423414
9553520323
10241051404
11114081540
1268889410
133ac2b589
142402aa16
1516267989
hexe5e270c

241051404 has 96 divisors (see below), whose sum is σ = 650280960. Its totient is φ = 68731200.

The previous prime is 241051399. The next prime is 241051441. The reversal of 241051404 is 404150142.

It is a happy number.

241051404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559069 + ... + 559499.

It is an arithmetic number, because the mean of its divisors is an integer number (6773760).

Almost surely, 2241051404 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 241051404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325140480).

241051404 is an abundant number, since it is smaller than the sum of its proper divisors (409229556).

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

241051404 is a wasteful number, since it uses less digits than its factorization.

241051404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 241051404 is about 15525.8302193474. The cubic root of 241051404 is about 622.3526671853.

The spelling of 241051404 in words is "two hundred forty-one million, fifty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 223 228 418 431 446 627 669 836 862 892 1254 1293 1338 1724 2453 2508 2586 2676 4237 4741 4906 5172 7359 8189 8474 9482 9812 12711 14223 14718 16378 16948 18964 24567 25422 28446 29436 32756 46607 49134 50844 56892 90079 93214 96113 98268 139821 180158 186428 192226 270237 279642 288339 360316 384452 540474 559284 576678 1057243 1080948 1153356 1826147 2114486 3171729 3652294 4228972 5478441 6343458 7304588 10956882 12686916 20087617 21913764 40175234 60262851 80350468 120525702 241051404