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4234319872 = 21123241373
BaseRepresentation
bin1111110001100010…
…1001100000000000
3101221002121201212221
43330120221200000
532132441213442
61540100100424
7206634060616
oct37430514000
911832551787
104234319872
111883188212
129a2094714
13526334023
142c250b6b6
1519bb0d467
hexfc629800

4234319872 has 96 divisors (see below), whose sum is σ = 8895126240. Its totient is φ = 2011299840.

The previous prime is 4234319867. The next prime is 4234319909. The reversal of 4234319872 is 2789134324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11351878 + ... + 11352250.

It is an arithmetic number, because the mean of its divisors is an integer number (92657565).

Almost surely, 24234319872 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 4234319872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447563120).

4234319872 is an abundant number, since it is smaller than the sum of its proper divisors (4660806368).

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

4234319872 is a wasteful number, since it uses less digits than its factorization.

4234319872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 639 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The square root of 4234319872 is about 65071.6518308856. The cubic root of 4234319872 is about 1617.8113858314.

The spelling of 4234319872 in words is "four billion, two hundred thirty-four million, three hundred nineteen thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 241 256 368 373 482 512 736 746 964 1024 1472 1492 1928 2048 2944 2984 3856 5543 5888 5968 7712 8579 11086 11776 11936 15424 17158 22172 23552 23872 30848 34316 44344 47104 47744 61696 68632 88688 89893 95488 123392 137264 177376 179786 190976 246784 274528 354752 359572 381952 493568 549056 709504 719144 763904 1098112 1419008 1438288 2067539 2196224 2838016 2876576 4135078 4392448 5676032 5753152 8270156 8784896 11352064 11506304 16540312 17569792 23012608 33080624 46025216 66161248 92050432 132322496 184100864 264644992 529289984 1058579968 2117159936 4234319872