Search a number
-
+
3680742348 = 22322322719583
BaseRepresentation
bin1101101101100011…
…1010101111001100
3100111111222002021200
43123120322233030
530014232223343
61405123025500
7160132536153
oct33330725714
910444862250
103680742348
111619757228
1286880b290
1346874036a
1426cbaa59a
151682104d3
hexdb63abcc

3680742348 has 72 divisors (see below), whose sum is σ = 9751891968. Its totient is φ = 1168340448.

The previous prime is 3680742341. The next prime is 3680742353. The reversal of 3680742348 is 8432470863.

It is not an unprimeable number, because it can be changed into a prime (3680742341) 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 23 ways as a sum of consecutive naturals, for example, 178165 + ... + 197747.

It is an arithmetic number, because the mean of its divisors is an integer number (135442944).

Almost surely, 23680742348 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 3680742348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4875945984).

3680742348 is an abundant number, since it is smaller than the sum of its proper divisors (6071149620).

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

3680742348 is a wasteful number, since it uses less digits than its factorization.

3680742348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19843 (or 19838 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3680742348 is about 60669.1218660696. The cubic root of 3680742348 is about 1543.9923325301.

The spelling of 3680742348 in words is "three billion, six hundred eighty million, seven hundred forty-two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 227 276 414 454 681 828 908 1362 2043 2724 4086 5221 8172 10442 15663 19583 20884 31326 39166 46989 58749 62652 78332 93978 117498 176247 187956 234996 352494 450409 704988 900818 1351227 1801636 2702454 4053681 4445341 5404908 8107362 8890682 13336023 16214724 17781364 26672046 40008069 53344092 80016138 102242843 160032276 204485686 306728529 408971372 613457058 920185587 1226914116 1840371174 3680742348