Search a number
-
+
84050304 = 27313113149
BaseRepresentation
bin1010000001010…
…00000110000000
312212011012100020
411000220012000
5133004102204
612201253440
72040262422
oct500500600
9185135306
1084050304
1143498268
1224194280
131454ab10
14b23c812
1575a3bd9
hex5028180

84050304 has 128 divisors (see below), whose sum is σ = 244188000. Its totient is φ = 25460736.

The previous prime is 84050299. The next prime is 84050311. The reversal of 84050304 is 40305048.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564022 + ... + 564170.

Almost surely, 284050304 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 84050304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122094000).

84050304 is an abundant number, since it is smaller than the sum of its proper divisors (160137696).

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

84050304 is a wasteful number, since it uses less digits than its factorization.

84050304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 84050304 is about 9167.8952873601. The cubic root of 84050304 is about 438.0393200872.

Adding to 84050304 its product of nonzero digits (1920), we get a square (84052224 = 91682).

The spelling of 84050304 in words is "eighty-four million, fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 113 128 149 156 192 208 226 298 312 339 384 416 447 452 596 624 678 832 894 904 1192 1248 1356 1469 1664 1788 1808 1937 2384 2496 2712 2938 3576 3616 3874 4407 4768 4992 5424 5811 5876 7152 7232 7748 8814 9536 10848 11622 11752 14304 14464 15496 16837 17628 19072 21696 23244 23504 28608 30992 33674 35256 43392 46488 47008 50511 57216 61984 67348 70512 92976 94016 101022 123968 134696 141024 185952 188032 202044 218881 247936 269392 282048 371904 404088 437762 538784 564096 656643 743808 808176 875524 1077568 1313286 1616352 1751048 2155136 2626572 3232704 3502096 5253144 6465408 7004192 10506288 14008384 21012576 28016768 42025152 84050304