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330376242 = 23753193769
BaseRepresentation
bin10011101100010…
…010010000110010
3212000122212000010
4103230102100302
51134034014432
652441035350
711121103020
oct2354222062
9760585003
10330376242
1115a541619
1292785b56
13535a5101
1431c3d710
151e00e3cc
hex13b12432

330376242 has 64 divisors (see below), whose sum is σ = 774385920. Its totient is φ = 92012544.

The previous prime is 330376231. The next prime is 330376243. The reversal of 330376242 is 242673033.

It is a super-2 number, since 2×3303762422 = 218296922556085128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330376243) 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, 429234 + ... + 430002.

It is an arithmetic number, because the mean of its divisors is an integer number (12099780).

Almost surely, 2330376242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330376242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387192960).

330376242 is an abundant number, since it is smaller than the sum of its proper divisors (444009678).

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

330376242 is a wasteful number, since it uses less digits than its factorization.

330376242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027.

The product of its (nonzero) digits is 18144, while the sum is 30.

The square root of 330376242 is about 18176.2548947796. The cubic root of 330376242 is about 691.3048486552.

The spelling of 330376242 in words is "three hundred thirty million, three hundred seventy-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 193 318 371 386 579 742 769 1113 1158 1351 1538 2226 2307 2702 4053 4614 5383 8106 10229 10766 16149 20458 30687 32298 40757 61374 71603 81514 122271 143206 148417 214809 244542 285299 296834 429618 445251 570598 855897 890502 1038919 1711794 2077838 3116757 6233514 7866101 15732202 23598303 47196606 55062707 110125414 165188121 330376242