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34412340 = 2235599721
BaseRepresentation
bin1000001101000…
…1011100110100
32101202022212010
42003101130310
532302143330
63225324220
7565333344
oct203213464
971668763
1034412340
1118474556
12b636670
13718b441
1447dad24
15304b3b0
hex20d1734

34412340 has 48 divisors (see below), whose sum is σ = 97997760. Its totient is φ = 9020160.

The previous prime is 34412311. The next prime is 34412353. The reversal of 34412340 is 4321443.

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 15 ways as a sum of consecutive naturals, for example, 1321 + ... + 8400.

It is an arithmetic number, because the mean of its divisors is an integer number (2041620).

Almost surely, 234412340 is an apocalyptic number.

34412340 is a gapful number since it is divisible by the number (30) 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 34412340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48998880).

34412340 is an abundant number, since it is smaller than the sum of its proper divisors (63585420).

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

34412340 is a wasteful number, since it uses less digits than its factorization.

34412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9792 (or 9790 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34412340 is about 5866.2032013901. The cubic root of 34412340 is about 325.2655502241.

Adding to 34412340 its reverse (4321443), we get a palindrome (38733783).

The spelling of 34412340 in words is "thirty-four million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 9721 19442 29163 38884 48605 58326 97210 116652 145815 194420 291630 573539 583260 1147078 1720617 2294156 2867695 3441234 5735390 6882468 8603085 11470780 17206170 34412340