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3414010100 = 225234140101
BaseRepresentation
bin1100101101111101…
…1010100011110100
322210221001200102112
43023133122203310
523442441310400
61322434030152
7150413415134
oct31337324364
98727050375
103414010100
1114a2135356
127b3418358
134253bca27
142455b6ac4
1514eac3835
hexcb7da8f4

3414010100 has 18 divisors (see below), whose sum is σ = 7408402134. Its totient is φ = 1365604000.

The previous prime is 3414010081. The next prime is 3414010109. The reversal of 3414010100 is 10104143.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 755370256 + 2658639844 = 27484^2 + 51562^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414010109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17069951 + ... + 17070150.

Almost surely, 23414010100 is an apocalyptic number.

It is an amenable number.

3414010100 is an abundant number, since it is smaller than the sum of its proper divisors (3994392034).

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

3414010100 is a wasteful number, since it uses less digits than its factorization.

3414010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34140115 (or 34140108 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 3414010100 is about 58429.5310609284. The cubic root of 3414010100 is about 1505.7571492926.

Adding to 3414010100 its reverse (10104143), we get a palindrome (3424114243).

The spelling of 3414010100 in words is "three billion, four hundred fourteen million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 34140101 68280202 136560404 170700505 341401010 682802020 853502525 1707005050 3414010100