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334214040 = 23357139227
BaseRepresentation
bin10011111010111…
…011001110011000
3212021212211110210
4103322323032120
51141024322130
653055211120
711165525646
oct2372731630
9767784423
10334214040
11161722a56
1293b16aa0
1354319bb4
143255c196
151e51b5b0
hex13ebb398

334214040 has 64 divisors (see below), whose sum is σ = 1016789760. Its totient is φ = 87866240.

The previous prime is 334214011. The next prime is 334214063. The reversal of 334214040 is 40412433.

It is a super-2 number, since 2×3342140402 = 223398049066243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334213998 and 334214016.

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 15 ways as a sum of consecutive naturals, for example, 11094 + ... + 28133.

It is an arithmetic number, because the mean of its divisors is an integer number (15887340).

Almost surely, 2334214040 is an apocalyptic number.

334214040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334214040 is an abundant number, since it is smaller than the sum of its proper divisors (682575720).

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

334214040 is a wasteful number, since it uses less digits than its factorization.

334214040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39312 (or 39308 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 334214040 is about 18281.5218184920. The cubic root of 334214040 is about 693.9713852337.

Adding to 334214040 its reverse (40412433), we get a palindrome (374626473).

The spelling of 334214040 in words is "three hundred thirty-four million, two hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 39227 78454 117681 156908 196135 235362 313816 392270 470724 588405 784540 941448 1176810 1569080 2353620 2785117 4707240 5570234 8355351 11140468 13925585 16710702 22280936 27851170 33421404 41776755 55702340 66842808 83553510 111404680 167107020 334214040