Search a number
-
+
3399491970 = 2335719137691
BaseRepresentation
bin1100101010100000…
…0010000110000010
322202220202002022000
43022220002012002
523430232220340
61321154524430
7150146130210
oct31250020602
98686662260
103399491970
111494a196a6
127aa596716
134223a8814
142436b7cb0
1514d6a6d30
hexcaa02182

3399491970 has 256 divisors, whose sum is σ = 11001139200. Its totient is φ = 729699840.

The previous prime is 3399491941. The next prime is 3399491993. The reversal of 3399491970 is 791949933.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4919325 + ... + 4920015.

It is an arithmetic number, because the mean of its divisors is an integer number (42973200).

Almost surely, 23399491970 is an apocalyptic number.

3399491970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3399491970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500569600).

3399491970 is an abundant number, since it is smaller than the sum of its proper divisors (7601647230).

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

3399491970 is a wasteful number, since it uses less digits than its factorization.

3399491970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The square root of 3399491970 is about 58305.1624643993. The cubic root of 3399491970 is about 1503.6196981641.

The spelling of 3399491970 in words is "three billion, three hundred ninety-nine million, four hundred ninety-one thousand, nine hundred seventy".