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4339120384 = 282321792
BaseRepresentation
bin1000000101010000…
…11011100100000000
3102012101211011011101
410002220123210000
532341303323014
61554322224144
7212345625514
oct40250334400
912171734141
104339120384
111927358405
12a111b5054
13541c68871
142d23cc144
151a5e10474
hex102a1b900

4339120384 has 81 divisors (see below), whose sum is σ = 9105106843. Its totient is φ = 2063638016.

The previous prime is 4339120363. The next prime is 4339120393. The reversal of 4339120384 is 4830219334.

The square root of 4339120384 is 65872.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24240807 + ... + 24240985.

Almost surely, 24339120384 is an apocalyptic number.

4339120384 is the 65872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4339120384

4339120384 is an abundant number, since it is smaller than the sum of its proper divisors (4765986459).

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

4339120384 is an frugal number, since it uses more digits than its factorization.

4339120384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The cubic root of 4339120384 is about 1631.0498442066.

The spelling of 4339120384 in words is "four billion, three hundred thirty-nine million, one hundred twenty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 179 184 256 358 368 529 716 736 1058 1432 1472 2116 2864 2944 4117 4232 5728 5888 8234 8464 11456 16468 16928 22912 32041 32936 33856 45824 64082 65872 67712 94691 128164 131744 135424 189382 256328 263488 378764 512656 526976 736943 757528 1025312 1053952 1473886 1515056 2050624 2947772 3030112 4101248 5895544 6060224 8202496 11791088 12120448 16949689 23582176 24240896 33899378 47164352 67798756 94328704 135597512 188657408 271195024 542390048 1084780096 2169560192 4339120384