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334041500 = 225313173023
BaseRepresentation
bin10011111010010…
…001000110011100
3212021120001210102
4103322101012130
51141003312000
653051400232
711164206632
oct2372210634
9767501712
10334041500
11161615361
1293a53078
13542894c0
1432515352
151e4d53d5
hex13e9119c

334041500 has 96 divisors (see below), whose sum is σ = 832156416. Its totient is φ = 116044800.

The previous prime is 334041479. The next prime is 334041541. The reversal of 334041500 is 5140433.

334041500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3340415002 = 223167447444500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108989 + ... + 112011.

It is an arithmetic number, because the mean of its divisors is an integer number (8668296).

Almost surely, 2334041500 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 334041500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416078208).

334041500 is an abundant number, since it is smaller than the sum of its proper divisors (498114916).

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

334041500 is a wasteful number, since it uses less digits than its factorization.

334041500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 334041500 is about 18276.8022367153. The cubic root of 334041500 is about 693.8519423822.

Adding to 334041500 its reverse (5140433), we get a palindrome (339181933).

The spelling of 334041500 in words is "three hundred thirty-four million, forty-one thousand, five hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 34 50 52 65 68 85 100 125 130 170 221 250 260 325 340 425 442 500 650 850 884 1105 1300 1625 1700 2125 2210 3023 3250 4250 4420 5525 6046 6500 8500 11050 12092 15115 22100 27625 30230 39299 51391 55250 60460 75575 78598 102782 110500 151150 157196 196495 205564 256955 302300 377875 392990 513910 668083 755750 785980 982475 1027820 1284775 1336166 1511500 1964950 2569550 2672332 3340415 3929900 4912375 5139100 6423875 6680830 9824750 12847750 13361660 16702075 19649500 25695500 33404150 66808300 83510375 167020750 334041500