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3423410100 = 22325211595861
BaseRepresentation
bin1100110000001101…
…0001011110110100
322211120202020210200
43030003101132310
524002343110400
61323411320500
7150556335315
oct31403213664
98746666720
103423410100
1114a7475750
127b65b0130
13427331466
1424694260c
1515082db00
hexcc0d17b4

3423410100 has 216 divisors, whose sum is σ = 11906425440. Its totient is φ = 815712000.

The previous prime is 3423410069. The next prime is 3423410129. The reversal of 3423410100 is 10143243.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 581170 + ... + 587030.

It is an arithmetic number, because the mean of its divisors is an integer number (55122340).

Almost surely, 23423410100 is an apocalyptic number.

3423410100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3423410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953212720).

3423410100 is an abundant number, since it is smaller than the sum of its proper divisors (8483015340).

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

3423410100 is a wasteful number, since it uses less digits than its factorization.

3423410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951 (or 5941 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3423410100 is about 58509.9145444599. The cubic root of 3423410100 is about 1507.1378468849.

Adding to 3423410100 its reverse (10143243), we get a palindrome (3433553343).

The spelling of 3423410100 in words is "three billion, four hundred twenty-three million, four hundred ten thousand, one hundred".