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3674444445 = 33577983593
BaseRepresentation
bin1101101100000011…
…1001001010011101
3100111002010010012000
43123000321022131
530011124210240
61404340032513
7160025156010
oct33300711235
910432103160
103674444445
111616145551
12866692739
134673468a9
1426c00b377
151678b9430
hexdb03929d

3674444445 has 128 divisors (see below), whose sum is σ = 7664025600. Its totient is φ = 1635738624.

The previous prime is 3674444441. The next prime is 3674444453. The reversal of 3674444445 is 5444444763.

3674444445 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3674444445 - 22 = 3674444441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 3674444445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3674444441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6196069 + ... + 6196661.

It is an arithmetic number, because the mean of its divisors is an integer number (59875200).

Almost surely, 23674444445 is an apocalyptic number.

3674444445 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3674444445 is an abundant number, since it is smaller than the sum of its proper divisors (3989581155).

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

3674444445 is a wasteful number, since it uses less digits than its factorization.

3674444445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 45.

The square root of 3674444445 is about 60617.1959513140. The cubic root of 3674444445 is about 1543.1112181327. Note that the first 3 decimals are identical.

It can be divided in two parts, 3674444 and 445, that added together give a square (3674889 = 19172).

The spelling of 3674444445 in words is "three billion, six hundred seventy-four million, four hundred forty-four thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 79 83 105 135 189 237 249 315 395 415 553 581 593 711 747 945 1185 1245 1659 1743 1779 2133 2241 2765 2905 2965 3555 3735 4151 4977 5229 5337 6557 8295 8715 8895 10665 11205 12453 14931 15687 16011 19671 20755 24885 26145 26685 32785 37359 45899 46847 49219 59013 62265 74655 78435 80055 98355 112077 137697 140541 147657 177039 186795 229495 234235 246095 295065 327929 344533 413091 421623 442971 560385 688485 702705 738285 885195 983787 1033599 1239273 1264869 1328913 1639645 1722665 2065455 2108115 2214855 2951361 3100797 3888301 4918935 5167995 6196365 6324345 6644565 8854083 9302391 11664903 14756805 15503985 19441505 27218107 34994709 44270415 46511955 58324515 81654321 104984127 136090535 174973545 244962963 408271605 524920635 734888889 1224814815 3674444445