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350303412 = 223292103337
BaseRepresentation
bin10100111000010…
…011010010110100
3220102011020221110
4110320103102310
51204134202122
654432115020
711452346514
oct2470232264
9812136843
10350303412
1116a812158
1299395a70
1357761334
1434749844
1520b4890c
hex14e134b4

350303412 has 72 divisors (see below), whose sum is σ = 857286976. Its totient is φ = 111315456.

The previous prime is 350303389. The next prime is 350303431. The reversal of 350303412 is 214303053.

350303412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1039308 + ... + 1039644.

Almost surely, 2350303412 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 350303412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428643488).

350303412 is an abundant number, since it is smaller than the sum of its proper divisors (506983564).

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

350303412 is a wasteful number, since it uses less digits than its factorization.

350303412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 350303412 is about 18716.3942040127. The cubic root of 350303412 is about 704.9334558187.

Adding to 350303412 its reverse (214303053), we get a palindrome (564606465).

The spelling of 350303412 in words is "three hundred fifty million, three hundred three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 87 103 116 174 206 309 337 348 412 618 674 841 1011 1236 1348 1682 2022 2523 2987 3364 4044 5046 5974 8961 9773 10092 11948 17922 19546 29319 34711 35844 39092 58638 69422 86623 104133 117276 138844 173246 208266 259869 283417 346492 416532 519738 566834 850251 1006619 1039476 1133668 1700502 2013238 3019857 3401004 4026476 6039714 12079428 29191951 58383902 87575853 116767804 175151706 350303412