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34003125 = 33551331
BaseRepresentation
bin1000000110110…
…1100010110101
32100222112112000
42001231202311
532201100000
63212445513
7562010322
oct201554265
970875460
1034003125
1118215062
12b479899
1370770c0
144731b49
152eba000
hex206d8b5

34003125 has 96 divisors (see below), whose sum is σ = 69995520. Its totient is φ = 16200000.

The previous prime is 34003117. The next prime is 34003147. The reversal of 34003125 is 52130043.

It is not a de Polignac number, because 34003125 - 23 = 34003117 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34003098 and 34003107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1096860 + ... + 1096890.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 234003125 is an apocalyptic number.

It is an amenable number.

34003125 is an abundant number, since it is smaller than the sum of its proper divisors (35992395).

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

34003125 is an equidigital number, since it uses as much as digits as its factorization.

34003125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34003125 is about 5831.2198552275. The cubic root of 34003125 is about 323.9711051049.

Adding to 34003125 its reverse (52130043), we get a palindrome (86133168).

The spelling of 34003125 in words is "thirty-four million, three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 31 39 45 65 75 93 117 125 135 155 195 225 279 325 351 375 403 465 585 625 675 775 837 975 1125 1209 1395 1625 1755 1875 2015 2325 2925 3125 3375 3627 3875 4185 4875 5625 6045 6975 8125 8775 9375 10075 10881 11625 14625 16875 18135 19375 20925 24375 28125 30225 34875 40625 43875 50375 54405 58125 73125 84375 90675 96875 104625 121875 151125 174375 219375 251875 272025 290625 365625 453375 523125 755625 871875 1096875 1259375 1360125 2266875 2615625 3778125 6800625 11334375 34003125