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334332240 = 243511126641
BaseRepresentation
bin10011111011011…
…000000101010000
3212022002211121120
4103323120011100
51141042112430
653101522240
711166530364
oct2373300520
9768084546
10334332240
111617a3840
1293b73380
135435b938
143258d2a4
151e541610
hex13ed8150

334332240 has 80 divisors (see below), whose sum is σ = 1130659776. Its totient is φ = 81049600.

The previous prime is 334332239. The next prime is 334332247. The reversal of 334332240 is 42233433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3343322402 = 223556093406835200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 334332240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334332247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60681 + ... + 65960.

Almost surely, 2334332240 is an apocalyptic number.

334332240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

334332240 is an abundant number, since it is smaller than the sum of its proper divisors (796327536).

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

334332240 is a wasteful number, since it uses less digits than its factorization.

334332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126668 (or 126662 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

The square root of 334332240 is about 18284.7543051582. The cubic root of 334332240 is about 694.0531868536.

Adding to 334332240 its reverse (42233433), we get a palindrome (376565673).

The spelling of 334332240 in words is "three hundred thirty-four million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 126641 253282 379923 506564 633205 759846 1013128 1266410 1393051 1519692 1899615 2026256 2532820 2786102 3039384 3799230 4179153 5065640 5572204 6078768 6965255 7598460 8358306 10131280 11144408 13930510 15196920 16716612 20895765 22288816 27861020 30393840 33433224 41791530 55722040 66866448 83583060 111444080 167166120 334332240