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330360342 = 231353157509
BaseRepresentation
bin10011101100001…
…110011000010110
3212000122001012020
4103230032120112
51134033012332
652440434010
711121005454
oct2354163026
9760561166
10330360342
1115a530684
1292778906
135359aac0
1431c379d4
151e00982c
hex13b0e616

330360342 has 64 divisors (see below), whose sum is σ = 731021760. Its totient is φ = 98901504.

The previous prime is 330360319. The next prime is 330360347. The reversal of 330360342 is 243063033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330360347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648784 + ... + 649292.

It is an arithmetic number, because the mean of its divisors is an integer number (11422215).

Almost surely, 2330360342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330360342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365510880).

330360342 is an abundant number, since it is smaller than the sum of its proper divisors (400661418).

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

330360342 is a wasteful number, since it uses less digits than its factorization.

330360342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737.

The product of its (nonzero) digits is 3888, while the sum is 24.

The square root of 330360342 is about 18175.8175056860. The cubic root of 330360342 is about 691.2937583466.

The spelling of 330360342 in words is "three hundred thirty million, three hundred sixty thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 39 53 78 106 157 159 314 318 471 509 689 942 1018 1378 1527 2041 2067 3054 4082 4134 6123 6617 8321 12246 13234 16642 19851 24963 26977 39702 49926 53954 79913 80931 108173 159826 161862 216346 239739 324519 350701 479478 649038 701402 1038869 1052103 2077738 2104206 3116607 4235389 6233214 8470778 12706167 25412334 55060057 110120114 165180171 330360342