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334031020 = 225195471607
BaseRepresentation
bin10011111010001…
…110100010101100
3212021112112102021
4103322032202230
51141002443040
653051235524
711164134241
oct2372164254
9767475367
10334031020
111616084a4
1293a48ba4
13542847bb
14325115c8
151e4d224a
hex13e8e8ac

334031020 has 48 divisors (see below), whose sum is σ = 740194560. Its totient is φ = 126270144.

The previous prime is 334031017. The next prime is 334031023. The reversal of 334031020 is 20130433.

It is an interprime number because it is at equal distance from previous prime (334031017) and next prime (334031023).

It is a super-2 number, since 2×3340310202 = 223153444644480800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 334030985 and 334031003.

It is not an unprimeable number, because it can be changed into a prime (334031023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207057 + ... + 208663.

It is an arithmetic number, because the mean of its divisors is an integer number (15420720).

Almost surely, 2334031020 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 334031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370097280).

334031020 is an abundant number, since it is smaller than the sum of its proper divisors (406163540).

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

334031020 is a wasteful number, since it uses less digits than its factorization.

334031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 334031020 is about 18276.5155322343. The cubic root of 334031020 is about 693.8446861537.

Adding to 334031020 its reverse (20130433), we get a palindrome (354161453).

The spelling of 334031020 in words is "three hundred thirty-four million, thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 547 1094 1607 2188 2735 3214 5470 6428 8035 10393 10940 16070 20786 30533 32140 41572 51965 61066 103930 122132 152665 207860 305330 610660 879029 1758058 3516116 4395145 8790290 16701551 17580580 33403102 66806204 83507755 167015510 334031020