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304012002024 = 2332109267114503
BaseRepresentation
bin1000110110010001000…
…01110000001011101000
31002001201010012211212200
410123020201300023220
514440104033031044
6351354452140200
730651462244263
oct4331041601350
91061633184780
10304012002024
11107a26938855
124ab05007660
132288c0931c3
14109ddcdbcda
157d94a05369
hex46c88702e8

304012002024 has 96 divisors (see below), whose sum is σ = 831288057600. Its totient is φ = 100363121280.

The previous prime is 304012002017. The next prime is 304012002061. The reversal of 304012002024 is 420200210403.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 304012001988 and 304012002006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20954757 + ... + 20969259.

It is an arithmetic number, because the mean of its divisors is an integer number (8659250600).

Almost surely, 2304012002024 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 304012002024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415644028800).

304012002024 is an abundant number, since it is smaller than the sum of its proper divisors (527276055576).

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

304012002024 is a wasteful number, since it uses less digits than its factorization.

304012002024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17295 (or 17288 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 304012002024 its reverse (420200210403), we get a palindrome (724212212427).

The spelling of 304012002024 in words is "three hundred four billion, twelve million, two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 109 218 327 436 654 872 981 1308 1962 2616 2671 3924 5342 7848 8013 10684 14503 16026 21368 24039 29006 32052 43509 48078 58012 64104 87018 96156 116024 130527 174036 192312 261054 291139 348072 522108 582278 873417 1044216 1164556 1580827 1746834 2329112 2620251 3161654 3493668 4742481 5240502 6323308 6987336 9484962 10481004 12646616 14227443 18969924 20962008 28454886 37939848 38737513 56909772 77475026 113819544 116212539 154950052 232425078 309900104 348637617 464850156 697275234 929700312 1394550468 2789100936 4222388917 8444777834 12667166751 16889555668 25334333502 33779111336 38001500253 50668667004 76003000506 101337334008 152006001012 304012002024