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3401000420 = 225971753093
BaseRepresentation
bin1100101010110111…
…0010010111100100
322210000120201111112
43022231302113210
523431124003140
61321251124152
7150165012056
oct31255622744
98700521445
103401000420
111495859a54
127aaba3658
134227b62ac
1424398b8d6
1514d8a3c65
hexcab725e4

3401000420 has 24 divisors (see below), whose sum is σ = 7215734904. Its totient is φ = 1346374656.

The previous prime is 3401000413. The next prime is 3401000441. The reversal of 3401000420 is 240001043.

It can be written as a sum of positive squares in 4 ways, for example, as 56460196 + 3344540224 = 7514^2 + 57832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3401000395 and 3401000404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874607 + ... + 878486.

It is an arithmetic number, because the mean of its divisors is an integer number (300655621).

Almost surely, 23401000420 is an apocalyptic number.

It is an amenable number.

3401000420 is an abundant number, since it is smaller than the sum of its proper divisors (3814734484).

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

3401000420 is a wasteful number, since it uses less digits than its factorization.

3401000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753199 (or 1753197 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 3401000420 is about 58318.0968482340. The cubic root of 3401000420 is about 1503.8420646978.

Adding to 3401000420 its reverse (240001043), we get a palindrome (3641001463).

The spelling of 3401000420 in words is "three billion, four hundred one million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 1753093 3506186 7012372 8765465 17530930 35061860 170050021 340100042 680200084 850250105 1700500210 3401000420