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4334300412 = 22313223432161
BaseRepresentation
bin1000000100101100…
…00010110011111100
3102012001202021101220
410002112002303330
532334040103122
61554031033340
7212256642231
oct40226026374
912161667356
104334300412
111924666062
12a0b66b850
13540c6ba00
142d18d5788
151a57ac25c
hex102582cfc

4334300412 has 144 divisors (see below), whose sum is σ = 11698460928. Its totient is φ = 1245404160.

The previous prime is 4334300407. The next prime is 4334300419. The reversal of 4334300412 is 2140034334.

It is a super-2 number, since 2×43343004122 = 37572320122926739488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4334300419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2004612 + ... + 2006772.

It is an arithmetic number, because the mean of its divisors is an integer number (81239312).

Almost surely, 24334300412 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 4334300412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849230464).

4334300412 is an abundant number, since it is smaller than the sum of its proper divisors (7364160516).

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

4334300412 is a wasteful number, since it uses less digits than its factorization.

4334300412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2260 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 4334300412 is about 65835.4039404331. The cubic root of 4334300412 is about 1630.4456874020.

Adding to 4334300412 its reverse (2140034334), we get a palindrome (6474334746).

The spelling of 4334300412 in words is "four billion, three hundred thirty-four million, three hundred thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 13 23 26 39 43 46 52 69 78 86 92 129 138 156 169 172 258 276 299 338 507 516 559 598 676 897 989 1014 1118 1196 1677 1794 1978 2028 2161 2236 2967 3354 3588 3887 3956 4322 5934 6483 6708 7267 7774 8644 11661 11868 12857 12966 14534 15548 21801 23322 25714 25932 28093 29068 38571 43602 46644 49703 51428 56186 77142 84279 87204 92923 99406 112372 149109 154284 167141 168558 185846 198812 278769 298218 334282 337116 365209 371692 501423 557538 596436 646139 668564 730418 1002846 1095627 1115076 1207999 1292278 1460836 1938417 2005692 2137229 2191254 2415998 2584556 3623997 3876834 4274458 4382508 4831996 6411687 7247994 7753668 8399807 8548916 12823374 14495988 15703987 16799614 25199421 25646748 27783977 31407974 33599228 47111961 50398842 55567954 62815948 83351931 94223922 100797684 111135908 166703862 188447844 333407724 361191701 722383402 1083575103 1444766804 2167150206 4334300412