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34453125 = 325772
BaseRepresentation
bin1000001101101…
…1011010000101
32101211101210200
42003123122011
532310000000
63230241113
7565563300
oct203333205
971741720
1034453125
11184a2163
12b656199
1371a3b85
14480bb37
153058500
hex20db685

34453125 has 72 divisors (see below), whose sum is σ = 72363096. Its totient is φ = 15750000.

The previous prime is 34453093. The next prime is 34453141. The reversal of 34453125 is 52135443.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

34453125 is a `hidden beast` number, since 344 + 5 + 312 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34082244 + 370881 = 5838^2 + 609^2 .

It is not a de Polignac number, because 34453125 - 25 = 34453093 is a prime.

Its product of digits (7200) is a multiple of the sum of its prime divisors (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4921872 + ... + 4921878.

It is an arithmetic number, because the mean of its divisors is an integer number (1005043).

Almost surely, 234453125 is an apocalyptic number.

34453125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34453125 is an abundant number, since it is smaller than the sum of its proper divisors (37909971).

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

34453125 is an frugal number, since it uses more digits than its factorization.

34453125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 15 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 34453125 is about 5869.6784409369. The cubic root of 34453125 is about 325.3939994766.

Adding to 34453125 its reverse (52135443), we get a palindrome (86588568).

The spelling of 34453125 in words is "thirty-four million, four hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 125 147 175 225 245 315 375 441 525 625 735 875 1125 1225 1575 1875 2205 2625 3125 3675 4375 5625 6125 7875 9375 11025 13125 15625 18375 21875 28125 30625 39375 46875 55125 65625 78125 91875 109375 140625 153125 196875 234375 275625 328125 459375 546875 703125 765625 984375 1378125 1640625 2296875 3828125 4921875 6890625 11484375 34453125