Search a number
-
+
334405020 = 223541135937
BaseRepresentation
bin10011111011101…
…001110110011100
3212022020112110010
4103323221312130
51141101430040
653103243220
711200252515
oct2373516634
9768215403
10334405020
11161843494
1293ba9510
1354385ac1
14325aba0c
151e557e80
hex13ee9d9c

334405020 has 48 divisors (see below), whose sum is σ = 959178528. Its totient is φ = 86999040.

The previous prime is 334405013. The next prime is 334405051. The reversal of 334405020 is 20504433.

It is a happy number.

334405020 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3344050202 = 223653434802400800, which contains 22 as substring.

334405020 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65509 + ... + 70428.

It is an arithmetic number, because the mean of its divisors is an integer number (19982886).

Almost surely, 2334405020 is an apocalyptic number.

334405020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334405020 is an abundant number, since it is smaller than the sum of its proper divisors (624773508).

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

334405020 is a wasteful number, since it uses less digits than its factorization.

334405020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135990 (or 135988 counting only the distinct ones).

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

The square root of 334405020 is about 18286.7443794679. The cubic root of 334405020 is about 694.1035454689.

Adding to 334405020 its reverse (20504433), we get a palindrome (354909453).

The spelling of 334405020 in words is "three hundred thirty-four million, four hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 135937 271874 407811 543748 679685 815622 1359370 1631244 2039055 2718740 4078110 5573417 8156220 11146834 16720251 22293668 27867085 33440502 55734170 66881004 83601255 111468340 167202510 334405020