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3499689984 = 2113781373
BaseRepresentation
bin1101000010011001…
…0000100000000000
3100000220021200010120
43100212100200000
524131410034414
61335134300240
7152503605540
oct32046204000
910026250116
103499689984
11153653597a
12818057680
1343a08b49b
14252b1b320
1515739a2a9
hexd0990800

3499689984 has 96 divisors (see below), whose sum is σ = 10663248960. Its totient is φ = 999899136.

The previous prime is 3499689911. The next prime is 3499690027. The reversal of 3499689984 is 4899869943.

It is a tau number, because it is divible by the number of its divisors (96).

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, 2322 + ... + 83694.

It is an arithmetic number, because the mean of its divisors is an integer number (111075510).

Almost surely, 23499689984 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 3499689984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331624480).

3499689984 is an abundant number, since it is smaller than the sum of its proper divisors (7163558976).

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

3499689984 is an equidigital number, since it uses as much as digits as its factorization.

3499689984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81405 (or 81385 counting only the distinct ones).

The product of its digits is 120932352, while the sum is 69.

The square root of 3499689984 is about 59158.1776595595. The cubic root of 3499689984 is about 1518.2496564634.

The spelling of 3499689984 in words is "three billion, four hundred ninety-nine million, six hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 81373 162746 244119 325492 488238 569611 650984 976476 1139222 1301968 1708833 1952952 2278444 2603936 3417666 3905904 4556888 5207872 6835332 7811808 9113776 10415744 13670664 15623616 18227552 20831488 27341328 31247232 36455104 41662976 54682656 62494464 72910208 83325952 109365312 124988928 145820416 166651904 218730624 249977856 291640832 437461248 499955712 583281664 874922496 1166563328 1749844992 3499689984