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3345502986 = 23574192347
BaseRepresentation
bin1100011101101000…
…0101001100001010
322122011011011100000
43013122011030022
523322422043421
61311545423430
7145622210010
oct30732051412
98564134300
103345502986
1114674a3a01
1279449ab76
13414154887
1423a4628b0
15148a90226
hexc768530a

3345502986 has 96 divisors (see below), whose sum is σ = 8615093760. Its totient is φ = 953170416.

The previous prime is 3345502967. The next prime is 3345502987. The reversal of 3345502986 is 6892055433.

3345502986 is a `hidden beast` number, since 3 + 3 + 4 + 550 + 2 + 98 + 6 = 666.

It is a super-3 number, since 3×33455029863 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3345502987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1424265 + ... + 1426611.

It is an arithmetic number, because the mean of its divisors is an integer number (89740560).

Almost surely, 23345502986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3345502986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4307546880).

3345502986 is an abundant number, since it is smaller than the sum of its proper divisors (5269590774).

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

3345502986 is a wasteful number, since it uses less digits than its factorization.

3345502986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 3345502986 is about 57840.3231837444. The cubic root of 3345502986 is about 1495.6172789760.

The spelling of 3345502986 in words is "three billion, three hundred forty-five million, five hundred two thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 419 486 567 838 1134 1257 1701 2347 2514 2933 3402 3771 4694 5866 7041 7542 8799 11313 14082 16429 17598 21123 22626 26397 32858 33939 42246 49287 52794 63369 67878 79191 98574 101817 126738 147861 158382 190107 203634 237573 295722 380214 443583 475146 570321 712719 887166 983393 1140642 1330749 1425438 1966786 2661498 2950179 3992247 5900358 6883751 7984494 8850537 13767502 17701074 20651253 26551611 41302506 53103222 61953759 79654833 123907518 159309666 185861277 238964499 371722554 477928998 557583831 1115167662 1672751493 3345502986