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332115066 = 2344753823
BaseRepresentation
bin10011110010111…
…010110001111010
3212010221012020000
4103302322301322
51140010140231
652542213430
711141634333
oct2362726172
9763835200
10332115066
11160519a68
1293284276
1353a636ba
143217328a
151e2546e6
hex13cbac7a

332115066 has 80 divisors (see below), whose sum is σ = 775298304. Its totient is φ = 106176096.

The previous prime is 332115061. The next prime is 332115073. The reversal of 332115066 is 660511233.

It is a super-2 number, since 2×3321150662 = 220600834128368712, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (332115061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 403131 + ... + 403953.

Almost surely, 2332115066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332115066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387649152).

332115066 is an abundant number, since it is smaller than the sum of its proper divisors (443183238).

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

332115066 is a wasteful number, since it uses less digits than its factorization.

332115066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 332115066 is about 18224.0244183331. The cubic root of 332115066 is about 692.5155437956.

Adding to 332115066 its reverse (660511233), we get a palindrome (992626299).

The spelling of 332115066 in words is "three hundred thirty-two million, one hundred fifteen thousand, sixty-six".

Divisors: 1 2 3 6 9 18 27 47 53 54 81 94 106 141 159 162 282 318 423 477 823 846 954 1269 1431 1646 2469 2491 2538 2862 3807 4293 4938 4982 7407 7473 7614 8586 14814 14946 22221 22419 38681 43619 44442 44838 66663 67257 77362 87238 116043 130857 133326 134514 201771 232086 261714 348129 392571 403542 696258 785142 1044387 1177713 2050093 2088774 2355426 3133161 3533139 4100186 6150279 6266322 7066278 12300558 18450837 36901674 55352511 110705022 166057533 332115066