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350442414 = 23273311831
BaseRepresentation
bin10100111000110…
…101001110101110
3220102102022121200
4110320311032232
51204203124124
654435110330
711453466000
oct2470651656
9812368550
10350442414
1116a8a7633
12994423a6
13577ac69a
1434784370
1520b74bc9
hex14e353ae

350442414 has 96 divisors (see below), whose sum is σ = 914534400. Its totient is φ = 96843600.

The previous prime is 350442371. The next prime is 350442419. The reversal of 350442414 is 414244053.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350442419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190479 + ... + 192309.

It is an arithmetic number, because the mean of its divisors is an integer number (9526400).

Almost surely, 2350442414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350442414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457267200).

350442414 is an abundant number, since it is smaller than the sum of its proper divisors (564091986).

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

350442414 is a wasteful number, since it uses less digits than its factorization.

350442414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1891 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 350442414 is about 18720.1072112315. The cubic root of 350442414 is about 705.0266837644.

Adding to 350442414 its reverse (414244053), we get a palindrome (764686467).

The spelling of 350442414 in words is "three hundred fifty million, four hundred forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 49 62 63 93 98 126 147 186 217 279 294 343 434 441 558 651 686 882 1029 1302 1519 1831 1953 2058 3038 3087 3662 3906 4557 5493 6174 9114 10633 10986 12817 13671 16479 21266 25634 27342 31899 32958 38451 56761 63798 76902 89719 95697 113522 115353 170283 179438 191394 230706 269157 340566 397327 510849 538314 628033 794654 807471 1021698 1191981 1256066 1614942 1884099 2383962 2781289 3575943 3768198 5562578 5652297 7151886 8343867 11304594 16687734 19469023 25031601 38938046 50063202 58407069 116814138 175221207 350442414