Search a number
-
+
3678907716 = 22321129192
BaseRepresentation
bin1101101101000111…
…1010110101000100
3100111101111212122100
43123101322311010
530013300021331
61405015432100
7160111125321
oct33321726504
910441455570
103678907716
111618713900
12868085630
1346824a293
1426c84db48
15167e9bae6
hexdb47ad44

3678907716 has 81 divisors (see below), whose sum is σ = 10232856543. Its totient is φ = 1113607440.

The previous prime is 3678907711. The next prime is 3678907741. The reversal of 3678907716 is 6177098763.

The square root of 3678907716 is 60654.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (3678907711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4002705 + ... + 4003623.

Almost surely, 23678907716 is an apocalyptic number.

3678907716 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3678907716 is the 60654-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3678907716

3678907716 is an abundant number, since it is smaller than the sum of its proper divisors (6553948827).

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

3678907716 is a wasteful number, since it uses less digits than its factorization.

3678907716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The cubic root of 3678907716 is about 1543.7357603280.

The spelling of 3678907716 in words is "three billion, six hundred seventy-eight million, nine hundred seven thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 919 1089 1452 1838 2178 2757 3676 4356 5514 8271 10109 11028 16542 20218 30327 33084 40436 60654 90981 111199 121308 181962 222398 333597 363924 444796 667194 844561 1000791 1334388 1689122 2001582 2533683 3378244 4003164 5067366 7601049 9290171 10134732 15202098 18580342 27870513 30404196 37160684 55741026 83611539 102191881 111482052 167223078 204383762 306575643 334446156 408767524 613151286 919726929 1226302572 1839453858 3678907716