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342214332 = 223232313747
BaseRepresentation
bin10100011001011…
…100011010111100
3212211221021210220
4110121130122330
51200101324312
653542501340
711323526265
oct2431343274
9784837726
10342214332
11166197769
1296734850
1355b8b4b5
143364196c
152009bc8c
hex1465c6bc

342214332 has 144 divisors (see below), whose sum is σ = 903770112. Its totient is φ = 100552320.

The previous prime is 342214321. The next prime is 342214373. The reversal of 342214332 is 233412243.

It is a super-2 number, since 2×3422143322 = 234221298052412448, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 7281133 + ... + 7281179.

Almost surely, 2342214332 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 342214332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451885056).

342214332 is an abundant number, since it is smaller than the sum of its proper divisors (561555780).

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

342214332 is a wasteful number, since it uses less digits than its factorization.

342214332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 143 counting only the distinct ones).

The product of its digits is 3456, while the sum is 24.

The square root of 342214332 is about 18499.0359748826. The cubic root of 342214332 is about 699.4651233726.

Adding to 342214332 its reverse (233412243), we get a palindrome (575626575).

The spelling of 342214332 in words is "three hundred forty-two million, two hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 31 37 46 47 62 69 74 92 93 94 111 124 138 141 148 186 188 222 276 282 372 444 529 564 713 851 1058 1081 1147 1426 1457 1587 1702 1739 2116 2139 2162 2294 2553 2852 2914 3174 3243 3404 3441 3478 4278 4324 4371 4588 5106 5217 5828 6348 6486 6882 6956 8556 8742 10212 10434 12972 13764 16399 17484 19573 20868 24863 26381 32798 33511 39146 39997 49197 49726 52762 53909 58719 65596 67022 74589 78292 79143 79994 98394 99452 100533 105524 107818 117438 119991 134044 149178 158286 159988 161727 196788 201066 215636 234876 239982 298356 316572 323454 402132 479964 606763 646908 770753 919931 1213526 1239907 1541506 1820289 1839862 2312259 2427052 2479814 2759793 3083012 3640578 3679724 3719721 4624518 4959628 5519586 7281156 7439442 9249036 11039172 14878884 28517861 57035722 85553583 114071444 171107166 342214332