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3684701568 = 27323795281
BaseRepresentation
bin1101101110100000…
…0001010110000000
3100111210102020022110
43123220001112000
530021240422233
61405343535320
7160211306112
oct33350012600
910453366273
103684701568
111620a10909
12869bba540
134694c84b2
1426d51b3b2
15168743663
hexdba01580

3684701568 has 128 divisors (see below), whose sum is σ = 10344268800. Its totient is φ = 1159741440.

The previous prime is 3684701557. The next prime is 3684701617. The reversal of 3684701568 is 8651074863.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695088 + ... + 700368.

It is an arithmetic number, because the mean of its divisors is an integer number (80814600).

Almost surely, 23684701568 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 3684701568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5172134400).

3684701568 is an abundant number, since it is smaller than the sum of its proper divisors (6659567232).

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

3684701568 is a wasteful number, since it uses less digits than its factorization.

3684701568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5400 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3684701568 is about 60701.7427097443. The cubic root of 3684701568 is about 1544.5457367278.

The spelling of 3684701568 in words is "three billion, six hundred eighty-four million, seven hundred one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 79 92 96 128 138 158 184 192 237 276 316 368 384 474 552 632 736 948 1104 1264 1472 1817 1896 2208 2528 2944 3634 3792 4416 5056 5281 5451 7268 7584 8832 10112 10562 10902 14536 15168 15843 21124 21804 29072 30336 31686 42248 43608 58144 63372 84496 87216 116288 121463 126744 168992 174432 232576 242926 253488 337984 348864 364389 417199 485852 506976 675968 697728 728778 834398 971704 1013952 1251597 1457556 1668796 1943408 2027904 2503194 2915112 3337592 3886816 5006388 5830224 6675184 7773632 9595577 10012776 11660448 13350368 15547264 19191154 20025552 23320896 26700736 28786731 38382308 40051104 46641792 53401472 57573462 76764616 80102208 115146924 153529232 160204416 230293848 307058464 460587696 614116928 921175392 1228233856 1842350784 3684701568