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3402250320 = 2435721931499
BaseRepresentation
bin1100101011001010…
…0011100001010000
322210002221020001010
43022302203201100
523431434002240
61321334010520
7150211436100
oct31262434120
98702836033
103402250320
111496533027
127ab4a6a40
13422b33191
14243bd5200
1514da4e280
hexcaca3850

3402250320 has 240 divisors, whose sum is σ = 12340728000. Its totient is φ = 773111808.

The previous prime is 3402250297. The next prime is 3402250331. The reversal of 3402250320 is 230522043.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 47 ways as a sum of consecutive naturals, for example, 2268931 + ... + 2270429.

It is an arithmetic number, because the mean of its divisors is an integer number (51419700).

Almost surely, 23402250320 is an apocalyptic number.

3402250320 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 3402250320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6170364000).

3402250320 is an abundant number, since it is smaller than the sum of its proper divisors (8938477680).

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

3402250320 is a wasteful number, since it uses less digits than its factorization.

3402250320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 3402250320 is about 58328.8120914527. The cubic root of 3402250320 is about 1504.0262675547.

Adding to 3402250320 its reverse (230522043), we get a palindrome (3632772363).

The spelling of 3402250320 in words is "three billion, four hundred two million, two hundred fifty thousand, three hundred twenty".