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346221990 = 232519238803
BaseRepresentation
bin10100101000101…
…110110110100110
3220010110220021200
4110220232312212
51202113100430
654204423330
711402560362
oct2450566646
9803426250
10346221990
11168484784
1297b47b46
13569626aa
1433da62a2
15205de460
hex14a2eda6

346221990 has 96 divisors (see below), whose sum is σ = 988865280. Its totient is φ = 83654208.

The previous prime is 346221977. The next prime is 346222021. The reversal of 346221990 is 99122643.

346221990 is a `hidden beast` number, since 3 + 462 + 2 + 199 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34929 + ... + 43731.

It is an arithmetic number, because the mean of its divisors is an integer number (10300680).

Almost surely, 2346221990 is an apocalyptic number.

346221990 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 346221990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494432640).

346221990 is an abundant number, since it is smaller than the sum of its proper divisors (642643290).

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

346221990 is a wasteful number, since it uses less digits than its factorization.

346221990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8858 (or 8855 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 346221990 is about 18607.0414091010. The cubic root of 346221990 is about 702.1850024985.

It can be divided in two parts, 3462 and 21990, that added together give a palindrome (25452).

The spelling of 346221990 in words is "three hundred forty-six million, two hundred twenty-one thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 23 30 38 45 46 57 69 90 95 114 115 138 171 190 207 230 285 342 345 414 437 570 690 855 874 1035 1311 1710 2070 2185 2622 3933 4370 6555 7866 8803 13110 17606 19665 26409 39330 44015 52818 79227 88030 132045 158454 167257 202469 264090 334514 396135 404938 501771 607407 792270 836285 1003542 1012345 1214814 1505313 1672570 1822221 2024690 2508855 3010626 3037035 3644442 3846911 5017710 6074070 7526565 7693822 9111105 11540733 15053130 18222210 19234555 23081466 34622199 38469110 57703665 69244398 115407330 173110995 346221990