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334211040 = 25325232091
BaseRepresentation
bin10011111010111…
…010011111100000
3212021212200100200
4103322322133200
51141024223130
653055145200
711165514132
oct2372723740
9767780320
10334211040
11161720779
1293b15200
1354318717
143255b052
151e51a760
hex13eba7e0

334211040 has 72 divisors (see below), whose sum is σ = 1140500088. Its totient is φ = 89122560.

The previous prime is 334211039. The next prime is 334211063. The reversal of 334211040 is 40112433.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3342110402 = 223394038515763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114606 + ... + 117485.

It is an arithmetic number, because the mean of its divisors is an integer number (15840279).

Almost surely, 2334211040 is an apocalyptic number.

334211040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334211040 is an abundant number, since it is smaller than the sum of its proper divisors (806289048).

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

334211040 is a wasteful number, since it uses less digits than its factorization.

334211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232112 (or 232101 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 334211040 is about 18281.4397682458. The cubic root of 334211040 is about 693.9693087995.

Adding to 334211040 its reverse (40112433), we get a palindrome (374323473).

The spelling of 334211040 in words is "three hundred thirty-four million, two hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 232091 464182 696273 928364 1160455 1392546 1856728 2088819 2320910 2785092 3481365 3713456 4177638 4641820 5570184 6962730 7426912 8355276 9283640 10444095 11140368 13925460 16710552 18567280 20888190 22280736 27850920 33421104 37134560 41776380 55701840 66842208 83552760 111403680 167105520 334211040