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3409655116 = 2271756912589
BaseRepresentation
bin1100101100111011…
…0011010101001100
322210121212102111211
43023032303111030
523440332430431
61322200424204
7150331406320
oct31316632514
98717772454
103409655116
11149a73039a
127b1a78064
1342452670a
14244ba1980
1514e5132b1
hexcb3b354c

3409655116 has 48 divisors (see below), whose sum is σ = 7233710400. Its totient is φ = 1372796928.

The previous prime is 3409655113. The next prime is 3409655131. The reversal of 3409655116 is 6115569043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3409655111) 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 15 ways as a sum of consecutive naturals, for example, 264550 + ... + 277138.

It is an arithmetic number, because the mean of its divisors is an integer number (150702300).

Almost surely, 23409655116 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 3409655116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616855200).

3409655116 is an abundant number, since it is smaller than the sum of its proper divisors (3824055284).

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

3409655116 is a wasteful number, since it uses less digits than its factorization.

3409655116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13186 (or 13184 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The square root of 3409655116 is about 58392.2521915365. The cubic root of 3409655116 is about 1505.1166182265.

The spelling of 3409655116 in words is "three billion, four hundred nine million, six hundred fifty-five thousand, one hundred sixteen".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 569 1138 2276 3983 7966 9673 12589 15932 19346 25178 38692 50356 67711 88123 135422 176246 214013 270844 352492 428026 856052 1498091 2996182 5992364 7163141 14326282 28652564 50141987 100283974 121773397 200567948 243546794 487093588 852413779 1704827558 3409655116