Search a number
-
+
2321246304 = 2532132921379
BaseRepresentation
bin1000101001011011…
…0110100001100000
312222202211112022100
42022112312201200
514223214340204
61022200210400
7111344160636
oct21226664140
95882745270
102321246304
11a91312783
12549469a00
132acba3930
141803dd356
15d8bbba39
hex8a5b6860

2321246304 has 144 divisors (see below), whose sum is σ = 7354292400. Its totient is φ = 689568768.

The previous prime is 2321246287. The next prime is 2321246327. The reversal of 2321246304 is 4036421232.

2321246304 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 24 + 630 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 97887 + ... + 119265.

It is an arithmetic number, because the mean of its divisors is an integer number (51071475).

Almost surely, 22321246304 is an apocalyptic number.

2321246304 is a gapful number since it is divisible by the number (24) 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 2321246304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677146200).

2321246304 is an abundant number, since it is smaller than the sum of its proper divisors (5033046096).

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

2321246304 is a wasteful number, since it uses less digits than its factorization.

2321246304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21437 (or 21426 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 2321246304 is about 48179.3140673464. The cubic root of 2321246304 is about 1324.0581994174.

Adding to 2321246304 its reverse (4036421232), we get a palindrome (6357667536).

The spelling of 2321246304 in words is "two billion, three hundred twenty-one million, two hundred forty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 32 36 39 48 52 58 72 78 87 96 104 116 117 144 156 174 208 232 234 261 288 312 348 377 416 464 468 522 624 696 754 928 936 1044 1131 1248 1392 1508 1872 2088 2262 2784 3016 3393 3744 4176 4524 6032 6786 8352 9048 12064 13572 18096 21379 27144 36192 42758 54288 64137 85516 108576 128274 171032 192411 256548 277927 342064 384822 513096 555854 619991 684128 769644 833781 1026192 1111708 1239982 1539288 1667562 1859973 2052384 2223416 2479964 2501343 3078576 3335124 3719946 4446832 4959928 5002686 5579919 6157152 6670248 7439892 8059883 8893664 9919856 10005372 11159838 13340496 14879784 16119766 19839712 20010744 22319676 24179649 26680992 29759568 32239532 40021488 44639352 48359298 59519136 64479064 72538947 80042976 89278704 96718596 128958128 145077894 178557408 193437192 257916256 290155788 386874384 580311576 773748768 1160623152 2321246304