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334042420 = 225191635393
BaseRepresentation
bin10011111010010…
…001010100110100
3212021120010001111
4103322101110310
51141003324140
653051404404
711164212415
oct2372212464
9767503044
10334042420
11161616018
1293a53704
1354289a4a
143251580c
151e4d57ea
hex13e91534

334042420 has 48 divisors (see below), whose sum is σ = 743077440. Its totient is φ = 125784576.

The previous prime is 334042399. The next prime is 334042441. The reversal of 334042420 is 24240433.

It is an interprime number because it is at equal distance from previous prime (334042399) and next prime (334042441).

It is a super-2 number, since 2×3340424202 = 223168676718912800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334042391 and 334042400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59244 + ... + 64636.

It is an arithmetic number, because the mean of its divisors is an integer number (15480780).

Almost surely, 2334042420 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 334042420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371538720).

334042420 is an abundant number, since it is smaller than the sum of its proper divisors (409035020).

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

334042420 is a wasteful number, since it uses less digits than its factorization.

334042420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5584 (or 5582 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 334042420 is about 18276.8274052145. The cubic root of 334042420 is about 693.8525793721.

Adding to 334042420 its reverse (24240433), we get a palindrome (358282853).

The spelling of 334042420 in words is "three hundred thirty-four million, forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 163 190 326 380 652 815 1630 3097 3260 5393 6194 10786 12388 15485 21572 26965 30970 53930 61940 102467 107860 204934 409868 512335 879059 1024670 1758118 2049340 3516236 4395295 8790590 16702121 17581180 33404242 66808484 83510605 167021210 334042420