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3379118112 = 253219360793
BaseRepresentation
bin1100100101101001…
…0100000000100000
322201111101222121200
43021122110000200
523410023234422
61315150121200
7146511013206
oct31132240040
98644358550
103379118112
1114844734a7
127a37b0200
1341b0c4196
14240ad3076
1514b9d02ac
hexc9694020

3379118112 has 72 divisors (see below), whose sum is σ = 9659315484. Its totient is φ = 1120518144.

The previous prime is 3379118087. The next prime is 3379118143. The reversal of 3379118112 is 2118119733.

It can be written as a sum of positive squares in 2 ways, for example, as 3377469456 + 1648656 = 58116^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33791181122 = 22836878429692889088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25188 + ... + 85980.

Almost surely, 23379118112 is an apocalyptic number.

3379118112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3379118112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829657742).

3379118112 is an abundant number, since it is smaller than the sum of its proper divisors (6280197372).

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

3379118112 is a wasteful number, since it uses less digits than its factorization.

3379118112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61002 (or 60991 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 3379118112 is about 58130.1824528360. The cubic root of 3379118112 is about 1500.6098426943.

The spelling of 3379118112 in words is "three billion, three hundred seventy-nine million, one hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 193 288 386 579 772 1158 1544 1737 2316 3088 3474 4632 6176 6948 9264 13896 18528 27792 55584 60793 121586 182379 243172 364758 486344 547137 729516 972688 1094274 1459032 1945376 2188548 2918064 4377096 5836128 8754192 11733049 17508384 23466098 35199147 46932196 70398294 93864392 105597441 140796588 187728784 211194882 281593176 375457568 422389764 563186352 844779528 1126372704 1689559056 3379118112