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3286868640 = 253511622513
BaseRepresentation
bin1100001111101001…
…1010001010100000
322111001211020010120
43003322122022200
523212414244030
61302053000240
7144310631256
oct30372321240
98431736116
103286868640
111437396070
12778923080
13404c653b3
1423275c5d6
1514385c010
hexc3e9a2a0

3286868640 has 96 divisors (see below), whose sum is σ = 11294894016. Its totient is φ = 796815360.

The previous prime is 3286868639. The next prime is 3286868677. The reversal of 3286868640 is 468686823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 305977 + ... + 316536.

It is an arithmetic number, because the mean of its divisors is an integer number (117655146).

Almost surely, 23286868640 is an apocalyptic number.

3286868640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3286868640 is an abundant number, since it is smaller than the sum of its proper divisors (8008025376).

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

3286868640 is a wasteful number, since it uses less digits than its factorization.

3286868640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622542 (or 622534 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The square root of 3286868640 is about 57331.2187206935. The cubic root of 3286868640 is about 1486.8281761519.

The spelling of 3286868640 in words is "three billion, two hundred eighty-six million, eight hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 622513 1245026 1867539 2490052 3112565 3735078 4980104 6225130 6847643 7470156 9337695 9960208 12450260 13695286 14940312 18675390 19920416 20542929 24900520 27390572 29880624 34238215 37350780 41085858 49801040 54781144 59761248 68476430 74701560 82171716 99602080 102714645 109562288 136952860 149403120 164343432 205429290 219124576 273905720 298806240 328686864 410858580 547811440 657373728 821717160 1095622880 1643434320 3286868640