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332311330 = 25131927397
BaseRepresentation
bin10011110011101…
…010101100100010
3212011022011110001
4103303222230202
51140032430310
652550330214
711143412461
oct2363525442
9764264401
10332311330
1116064346a
129335996a
1353b01b30
14321c49d8
151e29293a
hex13ceab22

332311330 has 96 divisors (see below), whose sum is σ = 696279024. Its totient is φ = 113467392.

The previous prime is 332311307. The next prime is 332311361. The reversal of 332311330 is 33113233.

It can be written as a sum of positive squares in 8 ways, for example, as 84217329 + 248094001 = 9177^2 + 15751^2 .

It is a super-2 number, since 2×3323113302 = 220861640092737800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 332311298 and 332311307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3425842 + ... + 3425938.

Almost surely, 2332311330 is an apocalyptic number.

332311330 is an abundant number, since it is smaller than the sum of its proper divisors (363967694).

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

332311330 is a wasteful number, since it uses less digits than its factorization.

332311330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

The square root of 332311330 is about 18229.4083831593. The cubic root of 332311330 is about 692.6519313715.

Adding to 332311330 its reverse (33113233), we get a palindrome (365424563).

The spelling of 332311330 in words is "three hundred thirty-two million, three hundred eleven thousand, three hundred thirty".

Divisors: 1 2 5 10 13 19 26 38 65 73 95 97 130 146 190 194 247 361 365 485 494 722 730 949 970 1235 1261 1387 1805 1843 1898 2470 2522 2774 3610 3686 4693 4745 6305 6935 7081 9215 9386 9490 12610 13870 14162 18031 18430 23465 23959 26353 35017 35405 36062 46930 47918 52706 70034 70810 90155 92053 119795 131765 134539 175085 180310 184106 239590 263530 269078 342589 350170 455221 460265 672695 685178 910442 920530 1345390 1712945 1749007 2276105 2556241 3425890 3498014 4552210 5112482 8745035 12781205 17490070 25562410 33231133 66462266 166155665 332311330