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3345666066 = 233237336901
BaseRepresentation
bin1100011101101010…
…1101000000010010
322122011110110001000
43013122231000102
523322442303231
61311553122430
7145623456321
oct30732550022
98564413030
103345666066
1114675a5486
12794559416
134141b0b82
1423a4a60b8
15148ac36e6
hexc76ad012

3345666066 has 64 divisors (see below), whose sum is σ = 7864554240. Its totient is φ = 1052092800.

The previous prime is 3345666061. The next prime is 3345666067. The reversal of 3345666066 is 6606665433.

It is a happy number.

It is a super-2 number, since 2×33456660662 = 22386962850367832712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3345666061) 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, 72216 + ... + 109116.

It is an arithmetic number, because the mean of its divisors is an integer number (122883660).

Almost surely, 23345666066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3345666066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932277120).

3345666066 is an abundant number, since it is smaller than the sum of its proper divisors (4518888174).

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

3345666066 is a wasteful number, since it uses less digits than its factorization.

3345666066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37008 (or 37002 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The square root of 3345666066 is about 57841.7329097253. The cubic root of 3345666066 is about 1495.6415803844.

The spelling of 3345666066 in words is "three billion, three hundred forty-five million, six hundred sixty-six thousand, sixty-six".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 73 138 146 207 219 414 438 621 657 1242 1314 1679 1971 3358 3942 5037 10074 15111 30222 36901 45333 73802 90666 110703 221406 332109 664218 848723 996327 1697446 1992654 2546169 2693773 5092338 5387546 7638507 8081319 15277014 16162638 22915521 24243957 45831042 48487914 61956779 72731871 123913558 145463742 185870337 371740674 557611011 1115222022 1672833033 3345666066