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34017942 = 2371947907
BaseRepresentation
bin1000000111000…
…1001010010110
32101000021211210
42001301022112
532202033232
63213042250
7562101450
oct201611226
971007753
1034017942
1118225202
12b486386
137080a7a
1447372d0
152ebe5cc
hex2071296

34017942 has 64 divisors (see below), whose sum is σ = 83681280. Its totient is φ = 9002016.

The previous prime is 34017941. The next prime is 34017947. The reversal of 34017942 is 24971043.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34017941) 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, 37053 + ... + 37959.

It is an arithmetic number, because the mean of its divisors is an integer number (1307520).

Almost surely, 234017942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34017942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41840640).

34017942 is an abundant number, since it is smaller than the sum of its proper divisors (49663338).

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

34017942 is a wasteful number, since it uses less digits than its factorization.

34017942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985.

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

The square root of 34017942 is about 5832.4902057355. The cubic root of 34017942 is about 324.0181555136.

Adding to 34017942 its reverse (24971043), we get a palindrome (58988985).

The spelling of 34017942 in words is "thirty-four million, seventeen thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 47 57 94 114 133 141 266 282 329 399 658 798 893 907 987 1786 1814 1974 2679 2721 5358 5442 6251 6349 12502 12698 17233 18753 19047 34466 37506 38094 42629 51699 85258 103398 120631 127887 241262 255774 298403 361893 596806 723786 809951 895209 1619902 1790418 2429853 4859706 5669657 11339314 17008971 34017942