Search a number
-
+
3486193936 = 242925092
BaseRepresentation
bin1100111111001011…
…0001100100010000
322222221220000000221
43033302301210100
524114431201221
61333533122424
7152251105501
oct31762614420
98887800027
103486193936
111529958115
12813629414
13437344564
14251006ba8
151560d1541
hexcfcb1910

3486193936 has 45 divisors (see below), whose sum is σ = 7009216591. Its totient is φ = 1679683712.

The previous prime is 3486193897. The next prime is 3486193943. The reversal of 3486193936 is 6393916843.

The square root of 3486193936 is 59044.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 439153936 + 3047040000 = 20956^2 + 55200^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6848850 + ... + 6849358.

Almost surely, 23486193936 is an apocalyptic number.

3486193936 is the 59044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3486193936

3486193936 is an abundant number, since it is smaller than the sum of its proper divisors (3523022655).

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

3486193936 is an frugal number, since it uses more digits than its factorization.

3486193936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 540 counting only the distinct ones).

The product of its digits is 2519424, while the sum is 52.

The cubic root of 3486193936 is about 1516.2955056394.

The spelling of 3486193936 in words is "three billion, four hundred eighty-six million, one hundred ninety-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 116 232 464 509 841 1018 1682 2036 3364 4072 6728 8144 13456 14761 29522 59044 118088 236176 259081 428069 518162 856138 1036324 1712276 2072648 3424552 4145296 6849104 7513349 15026698 30053396 60106792 120213584 217887121 435774242 871548484 1743096968 3486193936