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34906914 = 23272192083
BaseRepresentation
bin1000010100101…
…0001100100010
32102200110021200
42011022030202
532414010124
63244102030
7602463300
oct205121442
972613250
1034906914
1118782099
12b834916
1373025a3
1448c9270
1530e7bc9
hex214a322

34906914 has 72 divisors (see below), whose sum is σ = 92654640. Its totient is φ = 9443952.

The previous prime is 34906901. The next prime is 34906919. The reversal of 34906914 is 41960943.

It is not an unprimeable number, because it can be changed into a prime (34906919) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15717 + ... + 17799.

It is an arithmetic number, because the mean of its divisors is an integer number (1286870).

Almost surely, 234906914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34906914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46327320).

34906914 is an abundant number, since it is smaller than the sum of its proper divisors (57747726).

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

34906914 is a wasteful number, since it uses less digits than its factorization.

34906914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 34906914 is about 5908.2073423332. The cubic root of 34906914 is about 326.8163826197.

It can be divided in two parts, 3490 and 6914, that added together give a square (10404 = 1022).

The spelling of 34906914 in words is "thirty-four million, nine hundred six thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2083 2394 2793 4166 5586 6249 8379 12498 14581 16758 18747 29162 37494 39577 43743 79154 87486 102067 118731 131229 204134 237462 262458 277039 306201 356193 554078 612402 712386 831117 918603 1662234 1837206 1939273 2493351 3878546 4986702 5817819 11635638 17453457 34906914