Search a number
-
+
34457442404 = 227111071045559
BaseRepresentation
bin100000000101110100…
…101101100001100100
310021221101202102211112
4200011310231201210
51031032101124104
623455102324152
72326613266520
oct400564554144
9107841672745
1034457442404
1113682367530
126817889658
1333319bab98
14194c436d80
15d6a10c86e
hex805d2d864

34457442404 has 48 divisors (see below), whose sum is σ = 75882562560. Its totient is φ = 13299497760.

The previous prime is 34457442359. The next prime is 34457442413. The reversal of 34457442404 is 40424475443.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489824 + ... + 555735.

It is an arithmetic number, because the mean of its divisors is an integer number (1580886720).

Almost surely, 234457442404 is an apocalyptic number.

It is an amenable number.

34457442404 is an abundant number, since it is smaller than the sum of its proper divisors (41425120156).

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

34457442404 is a wasteful number, since it uses less digits than its factorization.

34457442404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045688 (or 1045686 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 41.

The spelling of 34457442404 in words is "thirty-four billion, four hundred fifty-seven million, four hundred forty-two thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 77 107 154 214 308 428 749 1177 1498 2354 2996 4708 8239 16478 32956 1045559 2091118 4182236 7318913 11501149 14637826 23002298 29275652 46004596 80508043 111874813 161016086 223749626 322032172 447499252 783123691 1230622943 1566247382 2461245886 3132494764 4922491772 8614360601 17228721202 34457442404