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3402334320 = 2435711315939
BaseRepresentation
bin1100101011001011…
…1000000001110000
322210010002111021020
43022302320001300
523431444144240
61321335455440
7150212236020
oct31262700160
98703074236
103402334320
111496590150
127ab527580
13422b62498
14243c17a80
1514da690d0
hexcacb8070

3402334320 has 320 divisors, whose sum is σ = 13576273920. Its totient is φ = 684057600.

The previous prime is 3402334291. The next prime is 3402334333. The reversal of 3402334320 is 234332043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 569911 + ... + 575849.

It is an arithmetic number, because the mean of its divisors is an integer number (42425856).

Almost surely, 23402334320 is an apocalyptic number.

3402334320 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 3402334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6788136960).

3402334320 is an abundant number, since it is smaller than the sum of its proper divisors (10173939600).

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

3402334320 is a wasteful number, since it uses less digits than its factorization.

3402334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6004 (or 5998 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 3402334320 is about 58329.5321428177. The cubic root of 3402334320 is about 1504.0386453590.

Adding to 3402334320 its reverse (234332043), we get a palindrome (3636666363).

The spelling of 3402334320 in words is "three billion, four hundred two million, three hundred thirty-four thousand, three hundred twenty".