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13442310 = 23257191123
BaseRepresentation
bin110011010001…
…110100000110
3221021221101100
4303101310012
511420123220
61200040530
7222154260
oct63216406
927257340
1013442310
117651452
124603146
132a2863b
141adcb30
1512a7d90
hexcd1d06

13442310 has 96 divisors (see below), whose sum is σ = 42082560. Its totient is φ = 2908224.

The previous prime is 13442309. The next prime is 13442323. The reversal of 13442310 is 1324431.

It is a super-2 number, since 2×134423102 = 361391396272200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11409 + ... + 12531.

It is an arithmetic number, because the mean of its divisors is an integer number (438360).

Almost surely, 213442310 is an apocalyptic number.

13442310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13442310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21041280).

13442310 is an abundant number, since it is smaller than the sum of its proper divisors (28640250).

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

13442310 is a wasteful number, since it uses less digits than its factorization.

13442310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13442310 is about 3666.3755945075. The cubic root of 13442310 is about 237.7704988180.

Adding to 13442310 its reverse (1324431), we get a palindrome (14766741).

The spelling of 13442310 in words is "thirteen million, four hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 57 63 70 90 95 105 114 126 133 171 190 210 266 285 315 342 399 570 630 665 798 855 1123 1197 1330 1710 1995 2246 2394 3369 3990 5615 5985 6738 7861 10107 11230 11970 15722 16845 20214 21337 23583 33690 39305 42674 47166 50535 64011 70749 78610 101070 106685 117915 128022 141498 149359 192033 213370 235830 298718 320055 353745 384066 448077 640110 707490 746795 896154 960165 1344231 1493590 1920330 2240385 2688462 4480770 6721155 13442310