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342443310 = 235112293253
BaseRepresentation
bin10100011010010…
…100010100101110
3212212100220220120
4110122110110232
51200131141220
653551425410
711325501666
oct2432242456
9785326816
10342443310
11166333800
1296825266
1355c3b7a1
14336a11a6
15200e4a40
hex1469452e

342443310 has 96 divisors (see below), whose sum is σ = 934809120. Its totient is φ = 80129280.

The previous prime is 342443287. The next prime is 342443317. The reversal of 342443310 is 13344243.

It is a super-2 number, since 2×3424433102 = 234534841127512200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342443317) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 103644 + ... + 106896.

It is an arithmetic number, because the mean of its divisors is an integer number (9737595).

Almost surely, 2342443310 is an apocalyptic number.

342443310 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 342443310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467404560).

342443310 is an abundant number, since it is smaller than the sum of its proper divisors (592365810).

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

342443310 is a wasteful number, since it uses less digits than its factorization.

342443310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3314 (or 3303 counting only the distinct ones).

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

The square root of 342443310 is about 18505.2238570626. The cubic root of 342443310 is about 699.6210942574.

Adding to 342443310 its reverse (13344243), we get a palindrome (355787553).

The spelling of 342443310 in words is "three hundred forty-two million, four hundred forty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 121 145 165 174 242 290 319 330 363 435 605 638 726 870 957 1210 1595 1815 1914 3190 3253 3509 3630 4785 6506 7018 9570 9759 10527 16265 17545 19518 21054 32530 35090 35783 48795 52635 71566 94337 97590 105270 107349 178915 188674 214698 283011 357830 393613 471685 536745 566022 787226 943370 1037707 1073490 1180839 1415055 1968065 2075414 2361678 2830110 3113121 3936130 5188535 5904195 6226242 10377070 11414777 11808390 15565605 22829554 31131210 34244331 57073885 68488662 114147770 171221655 342443310