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3677340342 = 2313314433433
BaseRepresentation
bin1101101100101111…
…1100001010110110
3100111021120020121110
43123023330022312
530012344342332
61404522055450
7160061606604
oct33313741266
910437506543
103677340342
111617843255
1286764a586
13467b1ba40
1426c562874
15167c8c4cc
hexdb2fc2b6

3677340342 has 64 divisors (see below), whose sum is σ = 8196765696. Its totient is φ = 1092199680.

The previous prime is 3677340341. The next prime is 3677340371. The reversal of 3677340342 is 2430437763.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3677340342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3677340341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1069458 + ... + 1072890.

It is an arithmetic number, because the mean of its divisors is an integer number (128074464).

Almost surely, 23677340342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3677340342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4098382848).

3677340342 is an abundant number, since it is smaller than the sum of its proper divisors (4519425354).

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

3677340342 is a wasteful number, since it uses less digits than its factorization.

3677340342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925.

The product of its (nonzero) digits is 254016, while the sum is 39.

The square root of 3677340342 is about 60641.0780082281. The cubic root of 3677340342 is about 1543.5164964250.

3677340342 divided by its sum of digits (39) gives a triangular number (94290778 = T13732).

The spelling of 3677340342 in words is "three billion, six hundred seventy-seven million, three hundred forty thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 403 443 806 886 1209 1329 2418 2658 3433 5759 6866 10299 11518 13733 17277 20598 27466 34554 41199 44629 82398 89258 106423 133887 178529 212846 267774 319269 357058 535587 638538 1071174 1383499 1520819 2766998 3041638 4150497 4562457 8300994 9124914 19770647 39541294 47145389 59311941 94290778 118623882 141436167 282872334 612890057 1225780114 1838670171 3677340342