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352122030 = 232513595101
BaseRepresentation
bin10100111111001…
…111010010101110
3220112120122121200
4110333033102232
51210120401110
654535110330
711503662561
oct2477172256
9815518550
10352122030
11170844547
1299b123a6
1357c4a040
1434aa04d8
1520da76c0
hex14fcf4ae

352122030 has 96 divisors (see below), whose sum is σ = 1002849120. Its totient is φ = 85190400.

The previous prime is 352122013. The next prime is 352122047. The reversal of 352122030 is 30221253.

It is an interprime number because it is at equal distance from previous prime (352122013) and next prime (352122047).

It is a super-2 number, since 2×3521220302 = 247979848022641800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 352121994 and 352122012.

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, 66480 + ... + 71580.

It is an arithmetic number, because the mean of its divisors is an integer number (10446345).

Almost surely, 2352122030 is an apocalyptic number.

352122030 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 352122030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501424560).

352122030 is an abundant number, since it is smaller than the sum of its proper divisors (650727090).

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

352122030 is a wasteful number, since it uses less digits than its factorization.

352122030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5186 (or 5183 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 352122030 is about 18764.9148679124. The cubic root of 352122030 is about 706.1512501397.

Adding to 352122030 its reverse (30221253), we get a palindrome (382343283).

The spelling of 352122030 in words is "three hundred fifty-two million, one hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 59 65 78 90 117 118 130 177 195 234 295 354 390 531 585 590 767 885 1062 1170 1534 1770 2301 2655 3835 4602 5101 5310 6903 7670 10202 11505 13806 15303 23010 25505 30606 34515 45909 51010 66313 69030 76515 91818 132626 153030 198939 229545 300959 331565 397878 459090 596817 601918 663130 902877 994695 1193634 1504795 1805754 1989390 2708631 2984085 3009590 3912467 4514385 5417262 5968170 7824934 9028770 11737401 13543155 19562335 23474802 27086310 35212203 39124670 58687005 70424406 117374010 176061015 352122030