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3394653984 = 253211786993
BaseRepresentation
bin1100101001010110…
…0100111100100000
322202120122021211100
43022111210330200
523423012411414
61320503114400
7150060040251
oct31225447440
98676567740
103394653984
111492214867
127a8a42a00
134213a36c7
14242bb8b28
1514d04d609
hexca564f20

3394653984 has 36 divisors (see below), whose sum is σ = 9653548086. Its totient is φ = 1131551232.

The previous prime is 3394653979. The next prime is 3394654051. The reversal of 3394653984 is 4893564933.

It can be written as a sum of positive squares in only one way, i.e., 2827261584 + 567392400 = 53172^2 + 23820^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3394653984.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5893209 + ... + 5893784.

Almost surely, 23394653984 is an apocalyptic number.

It is an amenable number.

3394653984 is an abundant number, since it is smaller than the sum of its proper divisors (6258894102).

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

3394653984 is a wasteful number, since it uses less digits than its factorization.

3394653984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11787009 (or 11786998 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The square root of 3394653984 is about 58263.6592053743. The cubic root of 3394653984 is about 1502.9060675450.

The spelling of 3394653984 in words is "three billion, three hundred ninety-four million, six hundred fifty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 11786993 23573986 35360979 47147972 70721958 94295944 106082937 141443916 188591888 212165874 282887832 377183776 424331748 565775664 848663496 1131551328 1697326992 3394653984