Search a number
-
+
3698320896 = 29331715737
BaseRepresentation
bin1101110001101111…
…1110011000000000
3100112202001011112000
43130123332120000
530033232232041
61410551504000
7160435131444
oct33433763000
910482034460
103698320896
111628673256
12872688000
1346c28657a
14271264824
15169a33bb6
hexdc6fe600

3698320896 has 160 divisors (see below), whose sum is σ = 11591981280. Its totient is φ = 1160183808.

The previous prime is 3698320883. The next prime is 3698320933. The reversal of 3698320896 is 6980238963.

3698320896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 227140 + ... + 242876.

It is an arithmetic number, because the mean of its divisors is an integer number (72449883).

Almost surely, 23698320896 is an apocalyptic number.

3698320896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3698320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795990640).

3698320896 is an abundant number, since it is smaller than the sum of its proper divisors (7893660384).

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

3698320896 is a wasteful number, since it uses less digits than its factorization.

3698320896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15781 (or 15759 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 3698320896 is about 60813.8215868728. The cubic root of 3698320896 is about 1546.4463710552.

The spelling of 3698320896 in words is "three billion, six hundred ninety-eight million, three hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 512 544 576 612 768 816 864 918 1088 1152 1224 1536 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4608 4896 6528 6912 7344 8704 9792 13056 13824 14688 15737 19584 26112 29376 31474 39168 47211 58752 62948 78336 94422 117504 125896 141633 188844 235008 251792 267529 283266 377688 424899 503584 535058 566532 755376 802587 849798 1007168 1070116 1133064 1510752 1605174 1699596 2014336 2140232 2266128 2407761 3021504 3210348 3399192 4028672 4280464 4532256 4815522 6043008 6420696 6798384 7223283 8057344 8560928 9064512 9631044 12086016 12841392 13596768 14446566 17121856 18129024 19262088 24172032 25682784 27193536 28893132 34243712 36258048 38524176 51365568 54387072 57786264 68487424 72516096 77048352 102731136 108774144 115572528 136974848 154096704 205462272 217548288 231145056 308193408 410924544 462290112 616386816 924580224 1232773632 1849160448 3698320896