Search a number
-
+
34323642 = 2333741419
BaseRepresentation
bin1000001011101…
…1110010111010
32101120211012000
42002323302322
532241324032
63223401430
7564513633
oct202736272
971524160
1034323642
1118413951
12b5b3276
137159c62
1447b688a
15302ee7c
hex20bbcba

34323642 has 64 divisors (see below), whose sum is σ = 80438400. Its totient is φ = 10834560.

The previous prime is 34323623. The next prime is 34323643. The reversal of 34323642 is 24632343.

It is a happy number.

It is a super-2 number, since 2×343236422 = 2356224800288328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34323643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81709 + ... + 82127.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 234323642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34323642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40219200).

34323642 is an abundant number, since it is smaller than the sum of its proper divisors (46114758).

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

34323642 is a wasteful number, since it uses less digits than its factorization.

34323642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

The square root of 34323642 is about 5858.6382376795. The cubic root of 34323642 is about 324.9858518496.

Adding to 34323642 its reverse (24632343), we get a palindrome (58955985).

The spelling of 34323642 in words is "thirty-four million, three hundred twenty-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 37 41 54 74 82 111 123 222 246 333 369 419 666 738 838 999 1107 1257 1517 1998 2214 2514 3034 3771 4551 7542 9102 11313 13653 15503 17179 22626 27306 31006 34358 40959 46509 51537 81918 93018 103074 139527 154611 279054 309222 418581 463833 635623 837162 927666 1271246 1906869 3813738 5720607 11441214 17161821 34323642