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1038340536 = 2333161137167
BaseRepresentation
bin111101111000111…
…101000110111000
32200100211011102220
4331320331012320
54111303344121
6251011124040
734505514612
oct7570750670
92610734386
101038340536
11493130682
1224b8a3620
131371725ac
149bc8bdb2
15612566c6
hex3de3d1b8

1038340536 has 128 divisors (see below), whose sum is σ = 2759823360. Its totient is φ = 325094400.

The previous prime is 1038340493. The next prime is 1038340559. The reversal of 1038340536 is 6350438301.

It is a junction number, because it is equal to n+sod(n) for n = 1038340497 and 1038340506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6217525 + ... + 6217691.

It is an arithmetic number, because the mean of its divisors is an integer number (21561120).

Almost surely, 21038340536 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 1038340536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379911680).

1038340536 is an abundant number, since it is smaller than the sum of its proper divisors (1721482824).

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

1038340536 is a wasteful number, since it uses less digits than its factorization.

1038340536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 1038340536 is about 32223.2918243931. The cubic root of 1038340536 is about 1012.6202382432.

Adding to 1038340536 its reverse (6350438301), we get a palindrome (7388778837).

The spelling of 1038340536 in words is "one billion, thirty-eight million, three hundred forty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 137 167 183 186 244 248 274 334 366 372 411 488 501 548 668 732 744 822 1002 1096 1336 1464 1644 1891 2004 3288 3782 4008 4247 5177 5673 7564 8357 8494 10187 10354 11346 12741 15128 15531 16714 16988 20374 20708 22692 22879 25071 25482 30561 31062 33428 33976 40748 41416 45384 45758 50142 50964 61122 62124 66856 68637 81496 91516 100284 101928 122244 124248 137274 183032 200568 244488 259067 274548 315797 518134 549096 631594 709249 777201 947391 1036268 1263188 1395619 1418498 1554402 1894782 2072536 2127747 2526376 2791238 2836996 3108804 3789564 4186857 4255494 5582476 5673992 6217608 7579128 8373714 8510988 11164952 16747428 17021976 33494856 43264189 86528378 129792567 173056756 259585134 346113512 519170268 1038340536