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352241250 = 2354294179
BaseRepresentation
bin10100111111101…
…100011001100010
3220112210201011020
4110333230121202
51210133210000
654541430310
711505000264
oct2477543142
9815721136
10352241250
11170916079
1299b6b396
1357c8c39a
1434ad1b34
1520dccba0
hex14fec662

352241250 has 160 divisors (see below), whose sum is σ = 944697600. Its totient is φ = 87360000.

The previous prime is 352241213. The next prime is 352241257. The reversal of 352241250 is 52142253.

352241250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 352241250.

It is not an unprimeable number, because it can be changed into a prime (352241257) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4458711 + ... + 4458789.

It is an arithmetic number, because the mean of its divisors is an integer number (5904360).

Almost surely, 2352241250 is an apocalyptic number.

352241250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 352241250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472348800).

352241250 is an abundant number, since it is smaller than the sum of its proper divisors (592456350).

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

352241250 is a wasteful number, since it uses less digits than its factorization.

352241250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 352241250 is about 18768.0912721566. The cubic root of 352241250 is about 706.2309363899.

The spelling of 352241250 in words is "three hundred fifty-two million, two hundred forty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 41 50 58 75 79 82 87 123 125 145 150 158 174 205 237 246 250 290 375 395 410 435 474 615 625 725 750 790 870 1025 1185 1189 1230 1250 1450 1875 1975 2050 2175 2291 2370 2378 3075 3239 3567 3625 3750 3950 4350 4582 5125 5925 5945 6150 6478 6873 7134 7250 9717 9875 10250 10875 11455 11850 11890 13746 15375 16195 17835 18125 19434 19750 21750 22910 25625 29625 29725 30750 32390 34365 35670 36250 48585 49375 51250 54375 57275 59250 59450 68730 76875 80975 89175 93931 97170 98750 108750 114550 148125 148625 153750 161950 171825 178350 187862 242925 281793 286375 296250 297250 343650 404875 445875 469655 485850 563586 572750 743125 809750 859125 891750 939310 1214625 1408965 1431875 1486250 1718250 2024375 2229375 2348275 2429250 2817930 2863750 4048750 4295625 4458750 4696550 6073125 7044825 8591250 11741375 12146250 14089650 23482750 35224125 58706875 70448250 117413750 176120625 352241250