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34906014 = 232111371191
BaseRepresentation
bin1000010100100…
…1111110011110
32102200102001100
42011021332132
532413443024
63244053530
7602460543
oct205117636
972612040
1034906014
1118781450
12b8342a6
137302060
1448c8bca
1530e77c9
hex2149f9e

34906014 has 96 divisors (see below), whose sum is σ = 90574848. Its totient is φ = 9576000.

The previous prime is 34906013. The next prime is 34906043. The reversal of 34906014 is 41060943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34906013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182659 + ... + 182849.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 234906014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34906014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45287424).

34906014 is an abundant number, since it is smaller than the sum of its proper divisors (55668834).

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

34906014 is a wasteful number, since it uses less digits than its factorization.

34906014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 34906014 is about 5908.1311766074. The cubic root of 34906014 is about 326.8135738422.

Adding to 34906014 its reverse (41060943), we get a palindrome (75966957).

The spelling of 34906014 in words is "thirty-four million, nine hundred six thousand, fourteen".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 71 78 99 117 142 143 191 198 213 234 286 382 426 429 573 639 781 858 923 1146 1278 1287 1562 1719 1846 2101 2343 2483 2574 2769 3438 4202 4686 4966 5538 6303 7029 7449 8307 10153 12606 13561 14058 14898 16614 18909 20306 22347 27122 27313 30459 37818 40683 44694 54626 60918 81366 81939 91377 122049 149171 163878 176293 182754 244098 245817 298342 352586 447513 491634 528879 895026 1057758 1342539 1586637 1939223 2685078 3173274 3878446 5817669 11635338 17453007 34906014