Search a number
-
+
3521664342 = 2327174333797
BaseRepresentation
bin1101000111101000…
…0101010101010110
3100002102122002021200
43101322011111112
524203021224332
61341241253330
7153161436660
oct32172052526
910072562250
103521664342
1115479845a9
12823494246
134417b3471
142559db530
1515928b17c
hexd1e85556

3521664342 has 96 divisors (see below), whose sum is σ = 9257032512. Its totient is φ = 944566272.

The previous prime is 3521664337. The next prime is 3521664371. The reversal of 3521664342 is 2434661253.

3521664342 is a `hidden beast` number, since 3 + 5 + 2 + 1 + 6 + 643 + 4 + 2 = 666.

3521664342 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3521664297 and 3521664306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 925588 + ... + 929384.

It is an arithmetic number, because the mean of its divisors is an integer number (96427422).

Almost surely, 23521664342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3521664342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628516256).

3521664342 is an abundant number, since it is smaller than the sum of its proper divisors (5735368170).

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

3521664342 is a wasteful number, since it uses less digits than its factorization.

3521664342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4262 (or 4259 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 3521664342 is about 59343.6124785136. The cubic root of 3521664342 is about 1521.4206970394.

The spelling of 3521664342 in words is "three billion, five hundred twenty-one million, six hundred sixty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 238 306 357 433 714 866 1071 1299 2142 2598 3031 3797 3897 6062 7361 7594 7794 9093 11391 14722 18186 22083 22782 26579 27279 34173 44166 51527 53158 54558 64549 66249 68346 79737 103054 129098 132498 154581 159474 193647 239211 309162 387294 451843 463743 478422 580941 903686 927486 1161882 1355529 1644101 2711058 3288202 4066587 4932303 8133174 9864606 11508707 14796909 23017414 27949717 29593818 34526121 55899434 69052242 83849151 103578363 167698302 195648019 207156726 251547453 391296038 503094906 586944057 1173888114 1760832171 3521664342