Search a number
-
+
34019825 = 527732663
BaseRepresentation
bin1000000111000…
…1100111110001
32101000101102112
42001301213301
532202113300
63213055105
7562110110
oct201614761
971011375
1034019825
1118226664
12b487495
137081898
144737c77
152ebee35
hex20719f1

34019825 has 24 divisors (see below), whose sum is σ = 48889728. Its totient is φ = 22999680.

The previous prime is 34019807. The next prime is 34019831. The reversal of 34019825 is 52891043.

It is not a de Polignac number, because 34019825 - 28 = 34019569 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34019791 and 34019800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11444 + ... + 14106.

It is an arithmetic number, because the mean of its divisors is an integer number (2037072).

Almost surely, 234019825 is an apocalyptic number.

34019825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34019825 is a deficient number, since it is larger than the sum of its proper divisors (14869903).

34019825 is a wasteful number, since it uses less digits than its factorization.

34019825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 34019825 is about 5832.6516268332. The cubic root of 34019825 is about 324.0241338777.

The spelling of 34019825 in words is "thirty-four million, nineteen thousand, eight hundred twenty-five".

Divisors: 1 5 7 25 35 73 175 365 511 1825 2555 2663 12775 13315 18641 66575 93205 194399 466025 971995 1360793 4859975 6803965 34019825