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3414424100 = 225287738933
BaseRepresentation
bin1100101110000011…
…1111101000100100
322210221211201022212
43023200333220210
523443043032400
61322450542552
7150420061133
oct31340775044
98727751285
103414424100
1114a23983aa
127b3597a58
134255062b9
1424568391a
1514eb56335
hexcb83fa24

3414424100 has 36 divisors (see below), whose sum is σ = 7417939284. Its totient is φ = 1364177280.

The previous prime is 3414424093. The next prime is 3414424163. The reversal of 3414424100 is 14244143.

It is a happy number.

3414424100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 354342976 + 3060081124 = 18824^2 + 55318^2 .

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, 68234 + ... + 107166.

It is an arithmetic number, because the mean of its divisors is an integer number (206053869).

Almost surely, 23414424100 is an apocalyptic number.

It is an amenable number.

3414424100 is an abundant number, since it is smaller than the sum of its proper divisors (4003515184).

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

3414424100 is a wasteful number, since it uses less digits than its factorization.

3414424100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39824 (or 39817 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 3414424100 is about 58433.0736826329. The cubic root of 3414424100 is about 1505.8180120556.

Adding to 3414424100 its reverse (14244143), we get a palindrome (3428668243).

The spelling of 3414424100 in words is "three billion, four hundred fourteen million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 877 1754 3508 4385 8770 17540 21925 38933 43850 77866 87700 155732 194665 389330 778660 973325 1946650 3893300 34144241 68288482 136576964 170721205 341442410 682884820 853606025 1707212050 3414424100