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334925240 = 235133179263
BaseRepresentation
bin10011111101101…
…000110110111000
3212100012222001112
4103331220312320
51141220101430
653122335452
711204550266
oct2375506670
9770188045
10334925240
11162069321
12941ba588
1354508820
14326a5436
151e60c195
hex13f68db8

334925240 has 128 divisors (see below), whose sum is σ = 851558400. Its totient is φ = 117711360.

The previous prime is 334925233. The next prime is 334925249. The reversal of 334925240 is 42529433.

It is a super-2 number, since 2×3349252402 = 224349832778115200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334925197 and 334925206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334925249) 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 31 ways as a sum of consecutive naturals, for example, 1273349 + ... + 1273611.

It is an arithmetic number, because the mean of its divisors is an integer number (6652800).

Almost surely, 2334925240 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 334925240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425779200).

334925240 is an abundant number, since it is smaller than the sum of its proper divisors (516633160).

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

334925240 is a wasteful number, since it uses less digits than its factorization.

334925240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 334925240 is about 18300.9628162018. The cubic root of 334925240 is about 694.4632883396.

The spelling of 334925240 in words is "three hundred thirty-four million, nine hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 79 104 124 130 155 158 248 260 263 310 316 395 403 520 526 620 632 790 806 1027 1052 1240 1315 1580 1612 2015 2054 2104 2449 2630 3160 3224 3419 4030 4108 4898 5135 5260 6838 8060 8153 8216 9796 10270 10520 12245 13676 16120 16306 17095 19592 20540 20777 24490 27352 31837 32612 34190 40765 41080 41554 48980 63674 65224 68380 81530 83108 97960 103885 105989 127348 136760 159185 163060 166216 207770 211978 254696 270101 318370 326120 415540 423956 529945 540202 636740 644087 831080 847912 1059890 1080404 1273480 1288174 1350505 2119780 2160808 2576348 2701010 3220435 4239560 5152696 5402020 6440870 8373131 10804040 12881740 16746262 25763480 33492524 41865655 66985048 83731310 167462620 334925240