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34950608 = 2471122579
BaseRepresentation
bin1000010101010…
…0110111010000
32102202200012222
42011110313100
532421404413
63245040212
7603034550
oct205246720
972680188
1034950608
1118801a00
12b856068
137319444
1448db160
153105b08
hex2154dd0

34950608 has 60 divisors (see below), whose sum is σ = 85098720. Its totient is φ = 13611840.

The previous prime is 34950583. The next prime is 34950613. The reversal of 34950608 is 80605943.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12263 + ... + 14841.

It is an arithmetic number, because the mean of its divisors is an integer number (1418312).

Almost surely, 234950608 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 34950608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42549360).

34950608 is an abundant number, since it is smaller than the sum of its proper divisors (50148112).

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

34950608 is a wasteful number, since it uses less digits than its factorization.

34950608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 34950608 is about 5911.9039234412. The cubic root of 34950608 is about 326.9526876219.

The spelling of 34950608 in words is "thirty-four million, nine hundred fifty thousand, six hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 484 616 847 968 1232 1694 1936 2579 3388 5158 6776 10316 13552 18053 20632 28369 36106 41264 56738 72212 113476 144424 198583 226952 288848 312059 397166 453904 624118 794332 1248236 1588664 2184413 2496472 3177328 4368826 4992944 8737652 17475304 34950608