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3398890000 = 2454112532
BaseRepresentation
bin1100101010010110…
…1111001000010000
322202212121111112211
43022211233020100
523430103440000
61321134001504
7150141042202
oct31245571020
98685544484
103398890000
111494648400
127aa346294
1342222781c
1424359c772
1514d5d87ba
hexca96f210

3398890000 has 225 divisors, whose sum is σ = 9219040369. Its totient is φ = 1212640000.

The previous prime is 3398889959. The next prime is 3398890013. The reversal of 3398890000 is 988933.

The square root of 3398890000 is 58300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1885991184 + 1512898816 = 43428^2 + 38896^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 64129974 + ... + 64130026.

Almost surely, 23398890000 is an apocalyptic number.

3398890000 is the 58300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3398890000

3398890000 is an abundant number, since it is smaller than the sum of its proper divisors (5820150369).

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

3398890000 is an equidigital number, since it uses as much as digits as its factorization.

3398890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The cubic root of 3398890000 is about 1503.5309410410.

Multiplying 3398890000 by its product of nonzero digits (46656), we get a square (158578611840000 = 125928002).

It can be divided in two parts, 3398 and 890000, that added together give a palindrome (893398).

The spelling of 3398890000 in words is "three billion, three hundred ninety-eight million, eight hundred ninety thousand".