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330130040 = 235232811277
BaseRepresentation
bin10011101011010…
…110001001111000
3212000012100021112
4103223112021320
51134003130130
652431455452
711116026152
oct2353261170
9760170245
10330130040
1115a393649
1292687588
135351a026
1431bb7ad2
151deb1495
hex13ad6278

330130040 has 64 divisors (see below), whose sum is σ = 778455360. Its totient is φ = 125762560.

The previous prime is 330130037. The next prime is 330130043. The reversal of 330130040 is 40031033.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (330130037) and next prime (330130043).

It is a junction number, because it is equal to n+sod(n) for n = 330129997 and 330130024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330130043) 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, 257882 + ... + 259158.

It is an arithmetic number, because the mean of its divisors is an integer number (12163365).

Almost surely, 2330130040 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 330130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389227680).

330130040 is an abundant number, since it is smaller than the sum of its proper divisors (448325320).

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

330130040 is a wasteful number, since it uses less digits than its factorization.

330130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 330130040 is about 18169.4810052461. The cubic root of 330130040 is about 691.1330819329.

Adding to 330130040 its reverse (40031033), we get a palindrome (370161073).

The spelling of 330130040 in words is "three hundred thirty million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 281 460 562 920 1124 1277 1405 2248 2554 2810 5108 5620 6385 6463 10216 11240 12770 12926 25540 25852 29371 32315 51080 51704 58742 64630 117484 129260 146855 234968 258520 293710 358837 587420 717674 1174840 1435348 1794185 2870696 3588370 7176740 8253251 14353480 16506502 33013004 41266255 66026008 82532510 165065020 330130040