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34972014 = 23711591283
BaseRepresentation
bin1000010101101…
…0000101101110
32102210202120210
42011122011232
532423101024
63245323250
7603154140
oct205320556
972722523
1034972014
1118816aa0
12b866526
1373260cc
144904c90
15310c129
hex215a16e

34972014 has 64 divisors (see below), whose sum is σ = 88750080. Its totient is φ = 8922720.

The previous prime is 34972013. The next prime is 34972033. The reversal of 34972014 is 41027943.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34972013) 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, 26617 + ... + 27899.

It is an arithmetic number, because the mean of its divisors is an integer number (1386720).

Almost surely, 234972014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34972014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44375040).

34972014 is an abundant number, since it is smaller than the sum of its proper divisors (53778066).

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

34972014 is a wasteful number, since it uses less digits than its factorization.

34972014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 34972014 is about 5913.7140614000. The cubic root of 34972014 is about 327.0194229501.

Adding to 34972014 its reverse (41027943), we get a palindrome (75999957).

The spelling of 34972014 in words is "thirty-four million, nine hundred seventy-two thousand, fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 59 66 77 118 154 177 231 354 413 462 649 826 1239 1283 1298 1947 2478 2566 3849 3894 4543 7698 8981 9086 13629 14113 17962 26943 27258 28226 42339 53886 75697 84678 98791 151394 197582 227091 296373 454182 529879 592746 832667 1059758 1589637 1665334 2498001 3179274 4996002 5828669 11657338 17486007 34972014