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3428250 = 23537653
BaseRepresentation
bin1101000100111110011010
320110011200020
431010332122
51334201000
6201251310
741065620
oct15047632
96404606
103428250
111a31771
121193b36
13930567
14653510
1547aba0
hex344f9a

3428250 has 64 divisors (see below), whose sum is σ = 9794304. Its totient is φ = 782400.

The previous prime is 3428239. The next prime is 3428251. The reversal of 3428250 is 528243.

3428250 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

3428250 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 3428250.

It is not an unprimeable number, because it can be changed into a prime (3428251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4924 + ... + 5576.

It is an arithmetic number, because the mean of its divisors is an integer number (153036).

Almost surely, 23428250 is an apocalyptic number.

3428250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4897152).

3428250 is an abundant number, since it is smaller than the sum of its proper divisors (6366054).

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

3428250 is a wasteful number, since it uses less digits than its factorization.

3428250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 3428250 is about 1851.5534018764. The cubic root of 3428250 is about 150.7847759071.

It can be divided in two parts, 342 and 8250, that multiplied together give a triangular number (2821500 = T2375).

The spelling of 3428250 in words is "three million, four hundred twenty-eight thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 250 350 375 525 653 750 875 1050 1306 1750 1959 2625 3265 3918 4571 5250 6530 9142 9795 13713 16325 19590 22855 27426 32650 45710 48975 68565 81625 97950 114275 137130 163250 228550 244875 342825 489750 571375 685650 1142750 1714125 3428250