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3423267840 = 21035437173
BaseRepresentation
bin1100110000001010…
…1110110000000000
322211120111000122210
43030002232300000
524002324032330
61323404302120
7150555203466
oct31402566000
98746430583
103423267840
1114a7388883
127b6541940
134272b1795
14246906836
151508018b0
hexcc0aec00

3423267840 has 352 divisors, whose sum is σ = 11517175296. Its totient is φ = 867041280.

The previous prime is 3423267839. The next prime is 3423267857. The reversal of 3423267840 is 487623243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46894044 + ... + 46894116.

It is an arithmetic number, because the mean of its divisors is an integer number (32719248).

Almost surely, 23423267840 is an apocalyptic number.

3423267840 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 3423267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5758587648).

3423267840 is an abundant number, since it is smaller than the sum of its proper divisors (8093907456).

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

3423267840 is a wasteful number, since it uses less digits than its factorization.

3423267840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 3423267840 is about 58508.6988404288. The cubic root of 3423267840 is about 1507.1169701963.

The spelling of 3423267840 in words is "three billion, four hundred twenty-three million, two hundred sixty-seven thousand, eight hundred forty".