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3689305344 = 28321601261
BaseRepresentation
bin1101101111100110…
…0101010100000000
3100112010002010111200
43123321211110000
530023430232334
61410030341200
7160265402154
oct33371452400
910463063450
103689305344
11162357578a
1286b65a800
1346a44ab1a
1426dd99064
15168d52799
hexdbe65500

3689305344 has 54 divisors (see below), whose sum is σ = 10637183466. Its totient is φ = 1229767680.

The previous prime is 3689305343. The next prime is 3689305379. The reversal of 3689305344 is 4435039863.

3689305344 is a `hidden beast` number, since 3 + 6 + 89 + 30 + 534 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3127046400 + 562258944 = 55920^2 + 23712^2 .

It is a super-4 number, since 4×36893053444 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3689305344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3689305343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 798327 + ... + 802934.

It is an arithmetic number, because the mean of its divisors is an integer number (196984879).

Almost surely, 23689305344 is an apocalyptic number.

It is an amenable number.

3689305344 is an abundant number, since it is smaller than the sum of its proper divisors (6947878122).

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

3689305344 is a wasteful number, since it uses less digits than its factorization.

3689305344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601283 (or 1601266 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The square root of 3689305344 is about 60739.6521557376. The cubic root of 3689305344 is about 1545.1887361728.

The spelling of 3689305344 in words is "three billion, six hundred eighty-nine million, three hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 1601261 3202522 4803783 6405044 9607566 12810088 14411349 19215132 25620176 28822698 38430264 51240352 57645396 76860528 102480704 115290792 153721056 204961408 230581584 307442112 409922816 461163168 614884224 922326336 1229768448 1844652672 3689305344