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34625000 = 2356277
BaseRepresentation
bin1000010000010…
…1010111101000
32102011010120102
42010011113220
532331000000
63234044532
7600210344
oct204052750
972133512
1034625000
11185aa303
12b719748
137234187
144854624
15308e3d5
hex21055e8

34625000 has 56 divisors (see below), whose sum is σ = 81444270. Its totient is φ = 13800000.

The previous prime is 34624981. The next prime is 34625009. The reversal of 34625000 is 52643.

It can be written as a sum of positive squares in 7 ways, for example, as 24423364 + 10201636 = 4942^2 + 3194^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (34625009) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 124862 + ... + 125138.

Almost surely, 234625000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40722135).

34625000 is an abundant number, since it is smaller than the sum of its proper divisors (46819270).

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

34625000 is an frugal number, since it uses more digits than its factorization.

34625000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 34625000 is about 5884.3011479699. The cubic root of 34625000 is about 325.9341957587.

Adding to 34625000 its reverse (52643), we get a palindrome (34677643).

The spelling of 34625000 in words is "thirty-four million, six hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 277 500 554 625 1000 1108 1250 1385 2216 2500 2770 3125 5000 5540 6250 6925 11080 12500 13850 15625 25000 27700 31250 34625 55400 62500 69250 125000 138500 173125 277000 346250 692500 865625 1385000 1731250 3462500 4328125 6925000 8656250 17312500 34625000