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34425240 = 2335416997
BaseRepresentation
bin1000001101010…
…0100110011000
32101202222112220
42003110212120
532303101430
63225504040
7565416063
oct203244630
971688486
1034425240
1118483213
12b642020
137194285
1448018da
153050110
hex20d4998

34425240 has 64 divisors (see below), whose sum is σ = 105809760. Its totient is φ = 8954880.

The previous prime is 34425239. The next prime is 34425247. The reversal of 34425240 is 4252443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34425240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34425247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1422 + ... + 8418.

Almost surely, 234425240 is an apocalyptic number.

34425240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34425240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52904880).

34425240 is an abundant number, since it is smaller than the sum of its proper divisors (71384520).

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

34425240 is a wasteful number, since it uses less digits than its factorization.

34425240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7052 (or 7048 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 34425240 is about 5867.3026170464. The cubic root of 34425240 is about 325.3061887606.

Adding to 34425240 its reverse (4252443), we get a palindrome (38677683).

The spelling of 34425240 in words is "thirty-four million, four hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 4920 6997 13994 20991 27988 34985 41982 55976 69970 83964 104955 139940 167928 209910 279880 286877 419820 573754 839640 860631 1147508 1434385 1721262 2295016 2868770 3442524 4303155 5737540 6885048 8606310 11475080 17212620 34425240