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3374780724 = 2232725336097
BaseRepresentation
bin1100100100100111…
…0001000100110100
322201012020121211200
43021021301010310
523402420440344
61314513132500
7146426106600
oct31111610464
98635217750
103374780724
111481a80787
127a225a130
1341a235b93
142402c4500
1514b425069
hexc9271134

3374780724 has 108 divisors (see below), whose sum is σ = 10110977604. Its totient is φ = 946003968.

The previous prime is 3374780723. The next prime is 3374780743. The reversal of 3374780724 is 4270874733.

It can be written as a sum of positive squares in 2 ways, for example, as 1444760100 + 1930020624 = 38010^2 + 43932^2 .

It is a super-2 number, since 2×33747807242 = 22778289870163928352, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3374780724.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3374780723) 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 35 ways as a sum of consecutive naturals, for example, 75444 + ... + 111540.

It is an arithmetic number, because the mean of its divisors is an integer number (93620163).

Almost surely, 23374780724 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 3374780724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055488802).

3374780724 is an abundant number, since it is smaller than the sum of its proper divisors (6736196880).

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

3374780724 is a wasteful number, since it uses less digits than its factorization.

3374780724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36174 (or 36162 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 3374780724 is about 58092.8629351317. The cubic root of 3374780724 is about 1499.9675139631.

The spelling of 3374780724 in words is "three billion, three hundred seventy-four million, seven hundred eighty thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 53 63 84 98 106 126 147 159 196 212 252 294 318 371 441 477 588 636 742 882 954 1113 1484 1764 1908 2226 2597 3339 4452 5194 6678 7791 10388 13356 15582 23373 31164 36097 46746 72194 93492 108291 144388 216582 252679 324873 433164 505358 649746 758037 1010716 1299492 1516074 1768753 1913141 2274111 3032148 3537506 3826282 4548222 5306259 5739423 7075012 7652564 9096444 10612518 11478846 13391987 15918777 17218269 21225036 22957692 26783974 31837554 34436538 40175961 53567948 63675108 68873076 80351922 93743909 120527883 160703844 187487818 241055766 281231727 374975636 482111532 562463454 843695181 1124926908 1687390362 3374780724