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34012134 = 23213191761
BaseRepresentation
bin1000000110111…
…1101111100110
32100222222212200
42001233233212
532201342014
63212555330
7562045512
oct201575746
970888780
1034012134
1118220902
12b482b46
13707b230
144735142
152ebca09
hex206fbe6

34012134 has 48 divisors (see below), whose sum is σ = 79881984. Its totient is φ = 10396800.

The previous prime is 34012133. The next prime is 34012141. The reversal of 34012134 is 43121043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34012133) 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, 44314 + ... + 45074.

It is an arithmetic number, because the mean of its divisors is an integer number (1664208).

Almost surely, 234012134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34012134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39940992).

34012134 is an abundant number, since it is smaller than the sum of its proper divisors (45869850).

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

34012134 is a wasteful number, since it uses less digits than its factorization.

34012134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34012134 is about 5831.9922839455. The cubic root of 34012134 is about 323.9997142201. Note that the first 3 decimals are identical.

Adding to 34012134 its reverse (43121043), we get a palindrome (77133177).

The spelling of 34012134 in words is "thirty-four million, twelve thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 191 234 382 573 761 1146 1522 1719 2283 2483 3438 4566 4966 6849 7449 9893 13698 14898 19786 22347 29679 44694 59358 89037 145351 178074 290702 436053 872106 1308159 1889563 2616318 3779126 5668689 11337378 17006067 34012134