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1328450004 = 223376726227
BaseRepresentation
bin100111100101110…
…1000100111010100
310102120201020211000
41033023220213110
510210040400004
6335453143300
744630432040
oct11713504724
93376636730
101328450004
1162196a172
12310a8ab30
131822b95bb
14c8609020
157b95ec39
hex4f2e89d4

1328450004 has 96 divisors (see below), whose sum is σ = 3995048960. Its totient is φ = 373877856.

The previous prime is 1328449919. The next prime is 1328450021. The reversal of 1328450004 is 4000548231.

1328450004 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1328450004.

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, 37539 + ... + 63765.

Almost surely, 21328450004 is an apocalyptic number.

1328450004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1328450004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997524480).

1328450004 is an abundant number, since it is smaller than the sum of its proper divisors (2666598956).

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

1328450004 is a wasteful number, since it uses less digits than its factorization.

1328450004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26314 (or 26306 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1328450004 is about 36447.9080881194. The cubic root of 1328450004 is about 1099.2970726707.

Adding to 1328450004 its reverse (4000548231), we get a palindrome (5328998235).

The spelling of 1328450004 in words is "one billion, three hundred twenty-eight million, four hundred fifty thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 67 84 108 126 134 189 201 252 268 378 402 469 603 756 804 938 1206 1407 1809 1876 2412 2814 3618 4221 5628 7236 8442 12663 16884 25326 26227 50652 52454 78681 104908 157362 183589 236043 314724 367178 472086 550767 708129 734356 944172 1101534 1416258 1652301 1757209 2203068 2832516 3304602 3514418 4956903 5271627 6609204 7028836 9913806 10543254 12300463 15814881 19827612 21086508 24600926 31629762 36901389 47444643 49201852 63259524 73802778 94889286 110704167 147605556 189778572 221408334 332112501 442816668 664225002 1328450004