Search a number
-
+
3438750 = 23547131
BaseRepresentation
bin1101000111100010011110
320110201002010
431013202132
51340020000
6201412050
741141340
oct15074236
96421063
103438750
111a39647
12119a026
13935283
14657290
1547dd50
hex34789e

3438750 has 80 divisors (see below), whose sum is σ = 9896832. Its totient is φ = 780000.

The previous prime is 3438749. The next prime is 3438751. The reversal of 3438750 is 578343.

3438750 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3438749) and next prime (3438751).

It is a Harshad number since it is a multiple of its sum of digits (30).

3438750 is strictly pandigital in base 8.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438751) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26185 + ... + 26315.

Almost surely, 23438750 is an apocalyptic number.

3438750 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 3438750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948416).

3438750 is an abundant number, since it is smaller than the sum of its proper divisors (6458082).

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

3438750 is a wasteful number, since it uses less digits than its factorization.

3438750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3438750 is about 1854.3866910653. The cubic root of 3438750 is about 150.9385595689.

The spelling of 3438750 in words is "three million, four hundred thirty-eight thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 131 150 175 210 250 262 350 375 393 525 625 655 750 786 875 917 1050 1250 1310 1750 1834 1875 1965 2625 2751 3275 3750 3930 4375 4585 5250 5502 6550 8750 9170 9825 13125 13755 16375 19650 22925 26250 27510 32750 45850 49125 68775 81875 98250 114625 137550 163750 229250 245625 343875 491250 573125 687750 1146250 1719375 3438750