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1018503396 = 22381972
BaseRepresentation
bin111100101101010…
…010000011100100
32121222111100000000
4330231102003210
54041214102041
6245022021300
734145064441
oct7455220344
92558440000
101018503396
11482a11749
12245117830
13133018341
14993a69c8
155e638bb6
hex3cb520e4

1018503396 has 81 divisors (see below), whose sum is σ = 2687075209. Its totient is φ = 337777776.

The previous prime is 1018503391. The next prime is 1018503407. The reversal of 1018503396 is 6933058101.

It is a happy number.

The square root of 1018503396 is 31914.

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

It can be written as a sum of positive squares in only one way, i.e., 997928100 + 20575296 = 31590^2 + 4536^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1018503396.

It is not an unprimeable number, because it can be changed into a prime (1018503391) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5169970 + ... + 5170166.

Almost surely, 21018503396 is an apocalyptic number.

1018503396 is the 31914-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1018503396

1018503396 is an abundant number, since it is smaller than the sum of its proper divisors (1668571813).

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

1018503396 is an frugal number, since it uses more digits than its factorization.

1018503396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The cubic root of 1018503396 is about 1006.1301432232.

Multiplying 1018503396 by its sum of digits (36), we get a square (36666122256 = 1914842).

1018503396 divided by its sum of digits (36) gives a square (28291761 = 53192).

The spelling of 1018503396 in words is "one billion, eighteen million, five hundred three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 197 243 324 394 486 591 729 788 972 1182 1458 1773 2187 2364 2916 3546 4374 5319 6561 7092 8748 10638 13122 15957 21276 26244 31914 38809 47871 63828 77618 95742 116427 143613 155236 191484 232854 287226 349281 430839 465708 574452 698562 861678 1047843 1292517 1397124 1723356 2095686 2585034 3143529 4191372 5170068 6287058 9430587 12574116 18861174 28291761 37722348 56583522 84875283 113167044 169750566 254625849 339501132 509251698 1018503396