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334340704 = 25314771101
BaseRepresentation
bin10011111011011…
…010001001100000
3212022010021020001
4103323122021200
51141042400304
653102025344
711166564145
oct2373321140
9768107201
10334340704
111617aa135
1293b78254
1354362749
14325923cc
151e543da4
hex13eda260

334340704 has 96 divisors (see below), whose sum is σ = 710664192. Its totient is φ = 154560000.

The previous prime is 334340659. The next prime is 334340729. The reversal of 334340704 is 407043433.

It is a super-2 number, since 2×3343407042 = 223567412702431232, 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 15 ways as a sum of consecutive naturals, for example, 3310254 + ... + 3310354.

It is an arithmetic number, because the mean of its divisors is an integer number (7402752).

Almost surely, 2334340704 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 334340704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355332096).

334340704 is an abundant number, since it is smaller than the sum of its proper divisors (376323488).

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

334340704 is a wasteful number, since it uses less digits than its factorization.

334340704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 28.

The square root of 334340704 is about 18284.9857533442. The cubic root of 334340704 is about 694.0590437188.

The spelling of 334340704 in words is "three hundred thirty-four million, three hundred forty thousand, seven hundred four".

Divisors: 1 2 4 8 16 31 32 47 62 71 94 101 124 142 188 202 248 284 376 404 496 568 752 808 992 1136 1457 1504 1616 2201 2272 2914 3131 3232 3337 4402 4747 5828 6262 6674 7171 8804 9494 11656 12524 13348 14342 17608 18988 23312 25048 26696 28684 35216 37976 46624 50096 53392 57368 70432 75952 100192 103447 106784 114736 147157 151904 206894 222301 229472 294314 337037 413788 444602 588628 674074 827576 889204 1177256 1348148 1655152 1778408 2354512 2696296 3310304 3556816 4709024 5392592 7113632 10448147 10785184 20896294 41792588 83585176 167170352 334340704