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34266672 = 2433117211
BaseRepresentation
bin1000001010110…
…1111000110000
32101110221001000
42002231320300
532233013142
63222242000
7564155556
oct202557060
971427030
1034266672
1118385070
12b586300
13713a04b
14479dbd6
15301d14c
hex20ade30

34266672 has 80 divisors (see below), whose sum is σ = 107314560. Its totient is φ = 10382400.

The previous prime is 34266667. The next prime is 34266677. The reversal of 34266672 is 27666243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34266667) and next prime (34266677).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34266677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1147 + ... + 8357.

It is an arithmetic number, because the mean of its divisors is an integer number (1341432).

Almost surely, 234266672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34266672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53657280).

34266672 is an abundant number, since it is smaller than the sum of its proper divisors (73047888).

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

34266672 is a wasteful number, since it uses less digits than its factorization.

34266672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7239 (or 7227 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 34266672 is about 5853.7741671506. The cubic root of 34266672 is about 324.8059496431.

The spelling of 34266672 in words is "thirty-four million, two hundred sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 7211 14422 21633 28844 43266 57688 64899 79321 86532 115376 129798 158642 173064 194697 237963 259596 317284 346128 389394 475926 519192 634568 713889 778788 951852 1038384 1269136 1427778 1557576 1903704 2141667 2855556 3115152 3807408 4283334 5711112 8566668 11422224 17133336 34266672