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3911689344 = 27313177761
BaseRepresentation
bin1110100100100111…
…1010010010000000
3101002121112102000010
43221021322102000
531002343024334
61444053024520
7165635545053
oct35111722200
911077472003
103911689344
111728057112
12912025140
134a45416a4
14291726a9a
1517d62e0e9
hexe927a480

3911689344 has 64 divisors (see below), whose sum is σ = 10469875680. Its totient is φ = 1293926400.

The previous prime is 3911689343. The next prime is 3911689363. The reversal of 3911689344 is 4439861193.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a junction number, because it is equal to n+sod(n) for n = 3911689293 and 3911689302.

It is not an unprimeable number, because it can be changed into a prime (3911689343) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 11424 + ... + 89184.

Almost surely, 23911689344 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 3911689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234937840).

3911689344 is an abundant number, since it is smaller than the sum of its proper divisors (6558186336).

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

3911689344 is a wasteful number, since it uses less digits than its factorization.

3911689344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77909 (or 77897 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 3911689344 is about 62543.4996142685. The cubic root of 3911689344 is about 1575.6319753579.

The spelling of 3911689344 in words is "three billion, nine hundred eleven million, six hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 131 192 262 384 393 524 786 1048 1572 2096 3144 4192 6288 8384 12576 16768 25152 50304 77761 155522 233283 311044 466566 622088 933132 1244176 1866264 2488352 3732528 4976704 7465056 9953408 10186691 14930112 20373382 29860224 30560073 40746764 61120146 81493528 122240292 162987056 244480584 325974112 488961168 651948224 977922336 1303896448 1955844672 3911689344