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1342172416 = 28134383113
BaseRepresentation
bin100111111111111…
…1110110100000000
310110112112102102111
41033333332310000
510222044004131
6341103225104
745155164054
oct11777766400
93415472374
101342172416
11629692002
123155a8194
131850b2580
14ca37bc64
157cc70ab1
hex4fffed00

1342172416 has 144 divisors (see below), whose sum is σ = 3014294976. Its totient is φ = 592478208.

The previous prime is 1342172411. The next prime is 1342172417. The reversal of 1342172416 is 6142712431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342172411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11877576 + ... + 11877688.

It is an arithmetic number, because the mean of its divisors is an integer number (20932604).

Almost surely, 21342172416 is an apocalyptic number.

1342172416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342172416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507147488).

1342172416 is an abundant number, since it is smaller than the sum of its proper divisors (1672122560).

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

1342172416 is a wasteful number, since it uses less digits than its factorization.

1342172416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 254 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 1342172416 is about 36635.6713600283. The cubic root of 1342172416 is about 1103.0692287993.

Adding to 1342172416 its reverse (6142712431), we get a palindrome (7484884847).

The spelling of 1342172416 in words is "one billion, three hundred forty-two million, one hundred seventy-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 83 86 104 113 128 166 172 208 226 256 332 344 416 452 559 664 688 832 904 1079 1118 1328 1376 1469 1664 1808 2158 2236 2656 2752 2938 3328 3569 3616 4316 4472 4859 5312 5504 5876 7138 7232 8632 8944 9379 9718 10624 11008 11752 14276 14464 17264 17888 18758 19436 21248 23504 28552 28928 34528 35776 37516 38872 46397 47008 57104 63167 69056 71552 75032 77744 92794 94016 114208 121927 126334 138112 143104 150064 155488 185588 188032 228416 243854 252668 276224 300128 310976 371176 376064 403297 456832 487708 505336 600256 621952 742352 806594 913664 975416 1010672 1200512 1243904 1484704 1613188 1950832 2021344 2401024 2969408 3226376 3901664 4042688 5242861 5938816 6452752 7803328 8085376 10485722 11877632 12905504 15606656 16170752 20971444 25811008 31213312 41942888 51622016 83885776 103244032 167771552 335543104 671086208 1342172416