Search a number
-
+
34529250 = 235376577
BaseRepresentation
bin1000001110110…
…1111111100010
32101222021020010
42003231333202
532314414000
63232025350
7566331240
oct203557742
971867203
1034529250
1118544378
12b692256
1371cc712
14482b790
153070d50
hex20edfe2

34529250 has 64 divisors (see below), whose sum is σ = 98512128. Its totient is φ = 7891200.

The previous prime is 34529249. The next prime is 34529263. The reversal of 34529250 is 5292543.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1962 + ... + 8538.

It is an arithmetic number, because the mean of its divisors is an integer number (1539252).

Almost surely, 234529250 is an apocalyptic number.

34529250 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 34529250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49256064).

34529250 is an abundant number, since it is smaller than the sum of its proper divisors (63982878).

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

34529250 is a wasteful number, since it uses less digits than its factorization.

34529250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6594 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 34529250 is about 5876.1594600555. The cubic root of 34529250 is about 325.6334784480.

The spelling of 34529250 in words is "thirty-four million, five hundred twenty-nine thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 250 350 375 525 750 875 1050 1750 2625 5250 6577 13154 19731 32885 39462 46039 65770 92078 98655 138117 164425 197310 230195 276234 328850 460390 493275 690585 822125 986550 1150975 1381170 1644250 2301950 2466375 3452925 4932750 5754875 6905850 11509750 17264625 34529250