Search a number
-
+
1004404368 = 243113751413
BaseRepresentation
bin111011110111011…
…111111010010000
32120222222000202210
4323313133322100
54024111414433
6243355512120
733614203422
oct7367377220
92528860683
101004404368
11475a61960
12240458640
1313011cb16
1497576812
155d2a1463
hex3bddfe90

1004404368 has 80 divisors (see below), whose sum is σ = 2907153216. Its totient is φ = 296133120.

The previous prime is 1004404367. The next prime is 1004404393. The reversal of 1004404368 is 8634044001.

It is not an unprimeable number, because it can be changed into a prime (1004404367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6171 + ... + 45242.

Almost surely, 21004404368 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 1004404368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453576608).

1004404368 is an abundant number, since it is smaller than the sum of its proper divisors (1902748848).

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

1004404368 is a wasteful number, since it uses less digits than its factorization.

1004404368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51472 (or 51466 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1004404368 is about 31692.3392636138. The cubic root of 1004404368 is about 1001.4659725410.

Adding to 1004404368 its reverse (8634044001), we get a palindrome (9638448369).

The spelling of 1004404368 in words is "one billion, four million, four hundred four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 6512 9768 19536 51413 102826 154239 205652 308478 411304 565543 616956 822608 1131086 1233912 1696629 1902281 2262172 2467824 3393258 3804562 4524344 5706843 6786516 7609124 9048688 11413686 13573032 15218248 20925091 22827372 27146064 30436496 41850182 45654744 62775273 83700364 91309488 125550546 167400728 251101092 334801456 502202184 1004404368