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34987225 = 5272134
BaseRepresentation
bin1000010101110…
…1110011011001
32102211112110011
42011131303121
532424042400
63245521521
7603246400
oct205356331
972745404
1034987225
1118827469
12b8732a1
137330000
14490a637
1531118ba
hex215dcd9

34987225 has 45 divisors (see below), whose sum is σ = 54672747. Its totient is φ = 22145760.

The previous prime is 34987219. The next prime is 34987229. The reversal of 34987225 is 52278943.

The square root of 34987225 is 5915.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 34327881 + 659344 = 5859^2 + 812^2 .

It is not a de Polignac number, because 34987225 - 23 = 34987217 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (34987229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2691319 + ... + 2691331.

Almost surely, 234987225 is an apocalyptic number.

34987225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34987225 is the 5915-th square number.

34987225 is the 2958-th centered octagonal number.

It is an amenable number.

34987225 is a deficient number, since it is larger than the sum of its proper divisors (19685522).

34987225 is an frugal number, since it uses more digits than its factorization.

34987225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 25 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The cubic root of 34987225 is about 327.0668282023.

The spelling of 34987225 in words is "thirty-four million, nine hundred eighty-seven thousand, two hundred twenty-five".

Divisors: 1 5 7 13 25 35 49 65 91 169 175 245 325 455 637 845 1183 1225 2197 2275 3185 4225 5915 8281 10985 15379 15925 28561 29575 41405 54925 76895 107653 142805 199927 207025 384475 538265 714025 999635 1399489 2691325 4998175 6997445 34987225