Search a number
-
+
3563914340 = 2257174136523
BaseRepresentation
bin1101010001101101…
…0000010001100100
3100012101010121101102
43110123100101210
524244330224330
61345351015232
7154213525550
oct32433202144
910171117342
103563914340
111569811658
1283566a518
1344a48716c
1425b478860
1515cd34945
hexd46d0464

3563914340 has 96 divisors (see below), whose sum is σ = 9277680384. Its totient is φ = 1121955840.

The previous prime is 3563914327. The next prime is 3563914363. The reversal of 3563914340 is 434193653.

It is a junction number, because it is equal to n+sod(n) for n = 3563914294 and 3563914303.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 79319 + ... + 115841.

It is an arithmetic number, because the mean of its divisors is an integer number (96642504).

Almost surely, 23563914340 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 3563914340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638840192).

3563914340 is an abundant number, since it is smaller than the sum of its proper divisors (5713766044).

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

3563914340 is a wasteful number, since it uses less digits than its factorization.

3563914340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36597 (or 36595 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 38.

The square root of 3563914340 is about 59698.5287925925. The cubic root of 3563914340 is about 1527.4807731407.

The spelling of 3563914340 in words is "three billion, five hundred sixty-three million, nine hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 41 68 70 82 85 119 140 164 170 205 238 287 340 410 476 574 595 697 820 1148 1190 1394 1435 2380 2788 2870 3485 4879 5740 6970 9758 13940 19516 24395 36523 48790 73046 97580 146092 182615 255661 365230 511322 620891 730460 1022644 1241782 1278305 1497443 2483564 2556610 2994886 3104455 4346237 5113220 5989772 6208910 7487215 8692474 10482101 12417820 14974430 17384948 20964202 21731185 25456531 29948860 41928404 43462370 50913062 52410505 86924740 101826124 104821010 127282655 178195717 209642020 254565310 356391434 509130620 712782868 890978585 1781957170 3563914340