Search a number
-
+
34725000 = 23355463
BaseRepresentation
bin1000010001110…
…1110010001000
32102100012202010
42010131302020
532342200000
63240135520
7601105032
oct204356210
972305663
1034725000
1118668452
12b7675a0
13726a84b
14487cc52
1530add50
hex211dc88

34725000 has 96 divisors (see below), whose sum is σ = 108743040. Its totient is φ = 9240000.

The previous prime is 34724983. The next prime is 34725001. The reversal of 34725000 is 52743.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34725001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74769 + ... + 75231.

It is an arithmetic number, because the mean of its divisors is an integer number (1132740).

Almost surely, 234725000 is an apocalyptic number.

34725000 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 34725000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54371520).

34725000 is an abundant number, since it is smaller than the sum of its proper divisors (74018040).

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

34725000 is an equidigital number, since it uses as much as digits as its factorization.

34725000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 34725000 is about 5892.7922074344. The cubic root of 34725000 is about 326.2476695713.

Adding to 34725000 its reverse (52743), we get a palindrome (34777743).

The spelling of 34725000 in words is "thirty-four million, seven hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 463 500 600 625 750 926 1000 1250 1389 1500 1852 1875 2315 2500 2778 3000 3125 3704 3750 4630 5000 5556 6250 6945 7500 9260 9375 11112 11575 12500 13890 15000 18520 18750 23150 25000 27780 34725 37500 46300 55560 57875 69450 75000 92600 115750 138900 173625 231500 277800 289375 347250 463000 578750 694500 868125 1157500 1389000 1446875 1736250 2315000 2893750 3472500 4340625 5787500 6945000 8681250 11575000 17362500 34725000