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34203020 = 2254153787
BaseRepresentation
bin1000001001111…
…0010110001100
32101100200201112
42002132112030
532223444040
63221031152
7563502155
oct202362614
971320645
1034203020
1118341265
12b5554b8
137117097
14478492c
153009365
hex209e58c

34203020 has 48 divisors (see below), whose sum is σ = 75061728. Its totient is φ = 13079040.

The previous prime is 34203019. The next prime is 34203023. The reversal of 34203020 is 2030243.

It is a junction number, because it is equal to n+sod(n) for n = 34202986 and 34203004.

It is not an unprimeable number, because it can be changed into a prime (34203023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43067 + ... + 43853.

It is an arithmetic number, because the mean of its divisors is an integer number (1563786).

Almost surely, 234203020 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 34203020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37530864).

34203020 is an abundant number, since it is smaller than the sum of its proper divisors (40858708).

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

34203020 is a wasteful number, since it uses less digits than its factorization.

34203020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 34203020 is about 5848.3348057374. The cubic root of 34203020 is about 324.6047107361.

Adding to 34203020 its reverse (2030243), we get a palindrome (36233263).

The spelling of 34203020 in words is "thirty-four million, two hundred three thousand, twenty".

Divisors: 1 2 4 5 10 20 41 53 82 106 164 205 212 265 410 530 787 820 1060 1574 2173 3148 3935 4346 7870 8692 10865 15740 21730 32267 41711 43460 64534 83422 129068 161335 166844 208555 322670 417110 645340 834220 1710151 3420302 6840604 8550755 17101510 34203020