Search a number
-
+
330346040 = 235171672909
BaseRepresentation
bin10011101100001…
…010111000111000
3212000121022120112
4103230022320320
51134032033130
652440243452
711120615663
oct2354127070
9760538515
10330346040
1115a520962
1292770588
135359443b
1431c326da
151e005495
hex13b0ae38

330346040 has 64 divisors (see below), whose sum is σ = 791985600. Its totient is φ = 123578368.

The previous prime is 330346021. The next prime is 330346087. The reversal of 330346040 is 40643033.

It is a super-2 number, since 2×3303460402 = 218257012287363200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330345997 and 330346015.

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, 112106 + ... + 115014.

It is an arithmetic number, because the mean of its divisors is an integer number (12374775).

Almost surely, 2330346040 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 330346040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395992800).

330346040 is an abundant number, since it is smaller than the sum of its proper divisors (461639560).

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

330346040 is a wasteful number, since it uses less digits than its factorization.

330346040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 330346040 is about 18175.4240665796. The cubic root of 330346040 is about 691.2837823449.

Adding to 330346040 its reverse (40643033), we get a palindrome (370989073).

The spelling of 330346040 in words is "three hundred thirty million, three hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 167 170 334 340 668 680 835 1336 1670 2839 2909 3340 5678 5818 6680 11356 11636 14195 14545 22712 23272 28390 29090 49453 56780 58180 98906 113560 116360 197812 247265 395624 485803 494530 971606 989060 1943212 1978120 2429015 3886424 4858030 8258651 9716060 16517302 19432120 33034604 41293255 66069208 82586510 165173020 330346040