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3341695168 = 26717617193
BaseRepresentation
bin1100011100101110…
…0011100011000000
322121212222200222201
43013023203203000
523320433221133
61311332042544
7145544640340
oct30713434300
98555880881
103341695168
111465333049
12793163454
13413420626
14239b50d20
1514858bd7d
hexc72e38c0

3341695168 has 112 divisors (see below), whose sum is σ = 8156960064. Its totient is φ = 1325629440.

The previous prime is 3341695153. The next prime is 3341695169. The reversal of 3341695168 is 8615961433.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×33416951682 = 22333853191669096448, which contains 22 as substring.

Its product of digits (466560) is a multiple of the sum of its prime factors (7290).

It is not an unprimeable number, because it can be changed into a prime (3341695169) 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, 460980 + ... + 468172.

Almost surely, 23341695168 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 3341695168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078480032).

3341695168 is an abundant number, since it is smaller than the sum of its proper divisors (4815264896).

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

3341695168 is a wasteful number, since it uses less digits than its factorization.

3341695168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290 (or 7280 counting only the distinct ones).

The product of its digits is 466560, while the sum is 46.

The square root of 3341695168 is about 57807.3971737182. The cubic root of 3341695168 is about 1495.0496313542.

The spelling of 3341695168 in words is "three billion, three hundred forty-one million, six hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 61 64 68 112 119 122 136 224 238 244 272 427 448 476 488 544 854 952 976 1037 1088 1708 1904 1952 2074 3416 3808 3904 4148 6832 7193 7259 7616 8296 13664 14386 14518 16592 27328 28772 29036 33184 50351 57544 58072 66368 100702 115088 116144 122281 201404 230176 232288 244562 402808 438773 460352 464576 489124 805616 855967 877546 978248 1611232 1711934 1755092 1956496 3071411 3222464 3423868 3510184 3912992 6142822 6847736 7020368 7459141 7825984 12285644 13695472 14040736 14918282 24571288 27390944 28081472 29836564 49142576 52213987 54781888 59673128 98285152 104427974 119346256 196570304 208855948 238692512 417711896 477385024 835423792 1670847584 3341695168