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34280208 = 24321012357
BaseRepresentation
bin1000001011000…
…1001100010000
32101111121121100
42002301030100
532233431313
63222424400
7564243204
oct202611420
971447540
1034280208
1118394256
12b592100
137143261
1447a4b04
153022173
hex20b1310

34280208 has 60 divisors (see below), whose sum is σ = 96927948. Its totient is φ = 11308800.

The previous prime is 34280131. The next prime is 34280227. The reversal of 34280208 is 80208243.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 13046544 = 4608^2 + 3612^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13366 + ... + 15722.

Almost surely, 234280208 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 34280208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48463974).

34280208 is an abundant number, since it is smaller than the sum of its proper divisors (62647740).

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

34280208 is a wasteful number, since it uses less digits than its factorization.

34280208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2472 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 34280208 is about 5854.9302301565. The cubic root of 34280208 is about 324.8487122293.

The spelling of 34280208 in words is "thirty-four million, two hundred eighty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1818 2357 2424 3636 4714 4848 7071 7272 9428 14142 14544 18856 21213 28284 37712 42426 56568 84852 113136 169704 238057 339408 476114 714171 952228 1428342 1904456 2142513 2856684 3808912 4285026 5713368 8570052 11426736 17140104 34280208