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338990994408 = 233113171583397
BaseRepresentation
bin1001110111011010111…
…00000001001111101000
31012101222212100202210010
410323231130001033220
521023223143310113
6415421425251520
733330340624023
oct4735534011750
91171885322703
10338990994408
11120846640520
1255847493ba0
1325c74b3cc31
141259b6da1ba
158c407d61c3
hex4eed7013e8

338990994408 has 128 divisors (see below), whose sum is σ = 967787274240. Its totient is φ = 98010528000.

The previous prime is 338990994367. The next prime is 338990994443. The reversal of 338990994408 is 804499099833.

It is a super-2 number, since 2×3389909944082 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289366 + ... + 872762.

It is an arithmetic number, because the mean of its divisors is an integer number (7560838080).

Almost surely, 2338990994408 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 338990994408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483893637120).

338990994408 is an abundant number, since it is smaller than the sum of its proper divisors (628796279832).

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

338990994408 is a wasteful number, since it uses less digits than its factorization.

338990994408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583519 (or 583515 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 66.

The spelling of 338990994408 in words is "three hundred thirty-eight billion, nine hundred ninety million, nine hundred ninety-four thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 71 88 93 124 132 142 186 213 248 264 284 341 372 426 568 682 744 781 852 1023 1364 1562 1704 2046 2201 2343 2728 3124 4092 4402 4686 6248 6603 8184 8804 9372 13206 17608 18744 24211 26412 48422 52824 72633 96844 145266 193688 290532 581064 583397 1166794 1750191 2333588 3500382 4667176 6417367 7000764 12834734 14001528 18085307 19252101 25669468 36170614 38504202 41421187 51338936 54255921 72341228 77008404 82842374 108511842 124263561 144682456 154016808 165684748 198938377 217023684 248527122 331369496 397876754 434047368 455633057 497054244 596815131 795753508 911266114 994108488 1193630262 1284056797 1366899171 1591507016 1822532228 2387260524 2568113594 2733798342 3645064456 3852170391 4774521048 5136227188 5467596684 7704340782 10272454376 10935193368 14124624767 15408681564 28249249534 30817363128 42373874301 56498499068 84747748602 112996998136 169495497204 338990994408