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3365506608 = 243297013449
BaseRepresentation
bin1100100010011001…
…1000111000110000
322200112210110010220
43020212120320300
523343032202413
61313542253040
7146254222422
oct31046307060
98615713126
103365506608
111477816a22
1279b127180
13418339839
1423cd8c812
1514a6e2223
hexc8998e30

3365506608 has 80 divisors (see below), whose sum is σ = 9009468000. Its totient is φ = 1081292800.

The previous prime is 3365506603. The next prime is 3365506633. The reversal of 3365506608 is 8066055633.

It is a super-2 number, since 2×33655066082 = 22653269456983331328, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3365506608.

It is not an unprimeable number, because it can be changed into a prime (3365506601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 974068 + ... + 977516.

It is an arithmetic number, because the mean of its divisors is an integer number (112618350).

Almost surely, 23365506608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3365506608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504734000).

3365506608 is an abundant number, since it is smaller than the sum of its proper divisors (5643961392).

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

3365506608 is a wasteful number, since it uses less digits than its factorization.

3365506608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 3365506608 is about 58012.9865461174. The cubic root of 3365506608 is about 1498.5922507970.

The spelling of 3365506608 in words is "three billion, three hundred sixty-five million, five hundred six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 701 1392 1402 2103 2804 3449 4206 5608 6898 8412 10347 11216 13796 16824 20329 20694 27592 33648 40658 41388 55184 60987 81316 82776 100021 121974 162632 165552 200042 243948 300063 325264 400084 487896 600126 800168 975792 1200252 1600336 2400504 2417749 4801008 4835498 7253247 9670996 14506494 19341992 29012988 38683984 58025976 70114721 116051952 140229442 210344163 280458884 420688326 560917768 841376652 1121835536 1682753304 3365506608