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34495216 = 2472231913
BaseRepresentation
bin1000001110010…
…1101011110000
32101220112112121
42003211223300
532312321331
63231204024
7566130100
oct203455360
971815477
1034495216
1118520848
12b676614
1371ba092
14481d200
153065c11
hex20e5af0

34495216 has 60 divisors (see below), whose sum is σ = 81168912. Its totient is φ = 14133504.

The previous prime is 34495199. The next prime is 34495217. The reversal of 34495216 is 61259443.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34495217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17076 + ... + 18988.

Almost surely, 234495216 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 34495216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40584456).

34495216 is an abundant number, since it is smaller than the sum of its proper divisors (46673696).

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

34495216 is a wasteful number, since it uses less digits than its factorization.

34495216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1945 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 34495216 is about 5873.2628069924. The cubic root of 34495216 is about 325.5264556290.

The spelling of 34495216 in words is "thirty-four million, four hundred ninety-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 644 784 1127 1288 1913 2254 2576 3826 4508 7652 9016 13391 15304 18032 26782 30608 43999 53564 87998 93737 107128 175996 187474 214256 307993 351992 374948 615986 703984 749896 1231972 1499792 2155951 2463944 4311902 4927888 8623804 17247608 34495216