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330424434 = 23429611153
BaseRepresentation
bin10011101100011…
…110000001110010
3212000202022010000
4103230132001302
51134042040214
652442050430
711121363354
oct2354360162
9760668100
10330424434
1115a57484a
12927a9a16
13535c1022
1431c530d4
151e01d809
hex13b1e072

330424434 has 80 divisors (see below), whose sum is σ = 779157720. Its totient is φ = 104509440.

The previous prime is 330424433. The next prime is 330424439. The reversal of 330424434 is 434424033.

It can be written as a sum of positive squares in 4 ways, for example, as 246647025 + 83777409 = 15705^2 + 9153^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 330424398 and 330424407.

It is not an unprimeable number, because it can be changed into a prime (330424433) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 286002 + ... + 287154.

Almost surely, 2330424434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330424434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389578860).

330424434 is an abundant number, since it is smaller than the sum of its proper divisors (448733286).

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

330424434 is a wasteful number, since it uses less digits than its factorization.

330424434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 330424434 is about 18177.5805320730. The cubic root of 330424434 is about 691.3384605793.

Adding to 330424434 its reverse (434424033), we get a palindrome (764848467).

The spelling of 330424434 in words is "three hundred thirty million, four hundred twenty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 61 81 87 122 162 174 183 261 366 522 549 783 1098 1153 1566 1647 1769 2306 2349 3294 3459 3538 4698 4941 5307 6918 9882 10377 10614 15921 20754 31131 31842 33437 47763 62262 66874 70333 93393 95526 100311 140666 143289 186786 200622 210999 286578 300933 421998 601866 632997 902799 1265994 1805598 1898991 2039657 2708397 3797982 4079314 5416794 5696973 6118971 11393946 12237942 18356913 36713826 55070739 110141478 165212217 330424434