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4338043984 = 2423371991601
BaseRepresentation
bin1000000101001000…
…10100110001010000
3102012022210110121201
410002210110301100
532341014401414
61554243200544
7212333523361
oct40244246120
912168713551
104338043984
11192679271a
12a10976154
1354197c941
142d21cbb68
151a5c9b574
hex102914c50

4338043984 has 80 divisors (see below), whose sum is σ = 9058348800. Its totient is φ = 2007244800.

The previous prime is 4338043979. The next prime is 4338043987. The reversal of 4338043984 is 4893408334.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4338043987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2708784 + ... + 2710384.

It is an arithmetic number, because the mean of its divisors is an integer number (113229360).

Almost surely, 24338043984 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 4338043984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529174400).

4338043984 is an abundant number, since it is smaller than the sum of its proper divisors (4720304816).

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

4338043984 is a wasteful number, since it uses less digits than its factorization.

4338043984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The square root of 4338043984 is about 65863.8291021711. The cubic root of 4338043984 is about 1630.9149622419.

The spelling of 4338043984 in words is "four billion, three hundred thirty-eight million, forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 37 46 74 92 148 184 199 296 368 398 592 796 851 1592 1601 1702 3184 3202 3404 4577 6404 6808 7363 9154 12808 13616 14726 18308 25616 29452 36616 36823 58904 59237 73232 73646 117808 118474 147292 169349 236948 294584 318599 338698 473896 589168 637198 677396 947792 1274396 1354792 1362451 2548792 2709584 2724902 5097584 5449804 7327777 10899608 11788163 14655554 21799216 23576326 29311108 47152652 58622216 94305304 117244432 188610608 271127749 542255498 1084510996 2169021992 4338043984