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334227040 = 2557289479
BaseRepresentation
bin10011111010111…
…110011001100000
3212021220111022021
4103322332121200
51141030231130
653055351224
711165611600
oct2372763140
9767814267
10334227040
111617317a4
1293b22514
1354322aa4
1432562c00
151e52037a
hex13ebe660

334227040 has 144 divisors (see below), whose sum is σ = 930787200. Its totient is φ = 113068032.

The previous prime is 334227037. The next prime is 334227041. The reversal of 334227040 is 40722433.

It is a super-2 number, since 2×3342270402 = 223415428534323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334226996 and 334227014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334227041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 697521 + ... + 697999.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2334227040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334227040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465393600).

334227040 is an abundant number, since it is smaller than the sum of its proper divisors (596560160).

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

334227040 is a wasteful number, since it uses less digits than its factorization.

334227040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 334227040 is about 18281.8773653036. The cubic root of 334227040 is about 693.9803829716.

Adding to 334227040 its reverse (40722433), we get a palindrome (374949473).

The spelling of 334227040 in words is "three hundred thirty-four million, two hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 89 98 112 140 160 178 196 224 245 280 356 392 445 479 490 560 623 712 784 890 958 980 1120 1246 1424 1568 1780 1916 1960 2395 2492 2848 3115 3353 3560 3832 3920 4361 4790 4984 6230 6706 7120 7664 7840 8722 9580 9968 12460 13412 14240 15328 16765 17444 19160 19936 21805 23471 24920 26824 33530 34888 38320 42631 43610 46942 49840 53648 67060 69776 76640 85262 87220 93884 99680 107296 117355 134120 139552 170524 174440 187768 213155 234710 268240 298417 341048 348880 375536 426310 469420 536480 596834 682096 697760 751072 852620 938840 1193668 1364192 1492085 1705240 1877680 2088919 2387336 2984170 3410480 3755360 4177838 4774672 5968340 6820960 8355676 9549344 10444595 11936680 16711352 20889190 23873360 33422704 41778380 47746720 66845408 83556760 167113520 334227040