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34014942 = 23213612383
BaseRepresentation
bin1000000111000…
…0011011011110
32101000010201200
42001300123132
532201434232
63213020330
7562056633
oct201603336
971003650
1034014942
1118222a25
12b4846a6
13707c5b0
14473618a
152ebd77c
hex20706de

34014942 has 48 divisors (see below), whose sum is σ = 80703168. Its totient is φ = 10290240.

The previous prime is 34014919. The next prime is 34014949. The reversal of 34014942 is 24941043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34014949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13083 + ... + 15465.

It is an arithmetic number, because the mean of its divisors is an integer number (1681316).

Almost surely, 234014942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34014942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40351584).

34014942 is an abundant number, since it is smaller than the sum of its proper divisors (46688226).

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

34014942 is a wasteful number, since it uses less digits than its factorization.

34014942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34014942 is about 5832.2330200362. The cubic root of 34014942 is about 324.0086303142.

Adding to 34014942 its reverse (24941043), we get a palindrome (58955985).

The spelling of 34014942 in words is "thirty-four million, fourteen thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 793 1098 1586 2379 2383 4758 4766 7137 7149 14274 14298 21447 30979 42894 61958 92937 145363 185874 278811 290726 436089 557622 872178 1308267 1889719 2616534 3779438 5669157 11338314 17007471 34014942