Search a number
-
+
3398419080 = 23325710313093
BaseRepresentation
bin1100101010001111…
…1100001010001000
322202211201120120100
43022203330022020
523424443402310
61321115525400
7150134041230
oct31243741210
98684646510
103398419080
111494356611
127aa159860
134220c1384
142434b8cc0
1514d543ec0
hexca8fc288

3398419080 has 192 divisors, whose sum is σ = 12746223360. Its totient is φ = 769181184.

The previous prime is 3398419069. The next prime is 3398419099. The reversal of 3398419080 is 809148933.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253014 + ... + 266106.

It is an arithmetic number, because the mean of its divisors is an integer number (66386580).

Almost surely, 23398419080 is an apocalyptic number.

3398419080 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 3398419080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6373111680).

3398419080 is an abundant number, since it is smaller than the sum of its proper divisors (9347804280).

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

3398419080 is a wasteful number, since it uses less digits than its factorization.

3398419080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13220 (or 13213 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3398419080 is about 58295.9610950879. The cubic root of 3398419080 is about 1503.4614992043.

The spelling of 3398419080 in words is "three billion, three hundred ninety-eight million, four hundred nineteen thousand, eighty".