Search a number
-
+
3520368 = 243329281
BaseRepresentation
bin1101011011011101110000
320121212001000
431123131300
51400122433
6203242000
741631315
oct15333560
96555030
103520368
111a949a5
121219300
13963477
14678d0c
15498113
hex35b770

3520368 has 80 divisors (see below), whose sum is σ = 10490400. Its totient is φ = 1128960.

The previous prime is 3520351. The next prime is 3520399. The reversal of 3520368 is 8630253.

3520368 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12388 + ... + 12668.

It is an arithmetic number, because the mean of its divisors is an integer number (131130).

Almost surely, 23520368 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 3520368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245200).

3520368 is an abundant number, since it is smaller than the sum of its proper divisors (6970032).

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

3520368 is a wasteful number, since it uses less digits than its factorization.

3520368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3520368 is about 1876.2643736958. The cubic root of 3520368 is about 152.1233993310.

The spelling of 3520368 in words is "three million, five hundred twenty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 87 108 116 144 174 216 232 261 281 348 432 464 522 562 696 783 843 1044 1124 1392 1566 1686 2088 2248 2529 3132 3372 4176 4496 5058 6264 6744 7587 8149 10116 12528 13488 15174 16298 20232 24447 30348 32596 40464 48894 60696 65192 73341 97788 121392 130384 146682 195576 220023 293364 391152 440046 586728 880092 1173456 1760184 3520368