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34239975 = 35273113
BaseRepresentation
bin1000001010011…
…1010111100111
32101102120102020
42002213113213
532231134400
63221514223
7564015000
oct202472747
971376366
1034239975
1118367000
12b572973
13712ab53
1447941a7
1530152a0
hex20a75e7

34239975 has 96 divisors (see below), whose sum is σ = 72614400. Its totient is φ = 14229600.

The previous prime is 34239967. The next prime is 34239977. The reversal of 34239975 is 57993243.

It is not a de Polignac number, because 34239975 - 23 = 34239967 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34239977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3112720 + ... + 3112730.

It is an arithmetic number, because the mean of its divisors is an integer number (756400).

Almost surely, 234239975 is an apocalyptic number.

34239975 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34239975 is an abundant number, since it is smaller than the sum of its proper divisors (38374425).

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

34239975 is an equidigital number, since it uses as much as digits as its factorization.

34239975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 26 counting only the distinct ones).

The product of its digits is 204120, while the sum is 42.

The square root of 34239975 is about 5851.4933991247. The cubic root of 34239975 is about 324.7215761412.

The spelling of 34239975 in words is "thirty-four million, two hundred thirty-nine thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 49 55 75 77 105 121 147 165 175 231 245 275 343 363 385 525 539 605 735 825 847 1029 1155 1225 1331 1617 1715 1815 1925 2541 2695 3025 3675 3773 3993 4235 5145 5775 5929 6655 8085 8575 9075 9317 11319 12705 13475 17787 18865 19965 21175 25725 27951 29645 33275 40425 41503 46585 56595 63525 65219 88935 94325 99825 124509 139755 148225 195657 207515 232925 282975 326095 444675 456533 622545 698775 978285 1037575 1369599 1630475 2282665 3112725 4891425 6847995 11413325 34239975