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3410000224 = 25192295187
BaseRepresentation
bin1100101101000000…
…0111100101100000
322210122111221220121
43023100013211200
523440430001344
61322212050024
7150334344421
oct31320074540
98718457817
103410000224
11149a946704
127b2003914
13424617817
14244c51648
1514e580684
hexcb407960

3410000224 has 36 divisors (see below), whose sum is σ = 7085397564. Its totient is φ = 1615257792.

The previous prime is 3410000213. The next prime is 3410000273. The reversal of 3410000224 is 4220000143.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3410000198 and 3410000207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 136042 + ... + 159145.

It is an arithmetic number, because the mean of its divisors is an integer number (196816599).

Almost surely, 23410000224 is an apocalyptic number.

It is an amenable number.

3410000224 is an abundant number, since it is smaller than the sum of its proper divisors (3675397340).

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

3410000224 is a wasteful number, since it uses less digits than its factorization.

3410000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295235 (or 295208 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 3410000224 is about 58395.2072005914. The cubic root of 3410000224 is about 1505.1673966038.

Adding to 3410000224 its reverse (4220000143), we get a palindrome (7630000367).

The spelling of 3410000224 in words is "three billion, four hundred ten million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1444 2888 5776 11552 295187 590374 1180748 2361496 4722992 5608553 9445984 11217106 22434212 44868424 89736848 106562507 179473696 213125014 426250028 852500056 1705000112 3410000224