Search a number
-
+
2301746496 = 26376472647
BaseRepresentation
bin1000100100110001…
…1101110101000000
312221102010211121020
42021030131311000
514203221341441
61020222225440
7111016344120
oct21114356500
95842124536
102301746496
11a81304235
12542a25280
132a8b3709a
1417b9a4c80
15d7118e66
hex8931dd40

2301746496 has 112 divisors (see below), whose sum is σ = 6973433856. Its totient is φ = 656377344.

The previous prime is 2301746483. The next prime is 2301746537. The reversal of 2301746496 is 6946471032.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868245 + ... + 870891.

Almost surely, 22301746496 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 2301746496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486716928).

2301746496 is an abundant number, since it is smaller than the sum of its proper divisors (4671687360).

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

2301746496 is a wasteful number, since it uses less digits than its factorization.

2301746496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3306 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 2301746496 is about 47976.5202573092. The cubic root of 2301746496 is about 1320.3401510900.

The spelling of 2301746496 in words is "two billion, three hundred one million, seven hundred forty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 647 672 1294 1344 1941 2588 2647 3882 4529 5176 5294 7764 7941 9058 10352 10588 13587 15528 15882 18116 18529 20704 21176 27174 31056 31764 36232 37058 41408 42352 54348 55587 62112 63528 72464 74116 84704 108696 111174 124224 127056 144928 148232 169408 217392 222348 254112 289856 296464 434784 444696 508224 592928 869568 889392 1185856 1712609 1778784 3425218 3557568 5137827 6850436 10275654 11988263 13700872 20551308 23976526 27401744 35964789 41102616 47953052 54803488 71929578 82205232 95906104 109606976 143859156 164410464 191812208 287718312 328820928 383624416 575436624 767248832 1150873248 2301746496