Search a number
-
+
3784218256 = 2472136
BaseRepresentation
bin1110000110001110…
…1001011010010000
3100202201200012112201
43201203221122100
530222224441011
61423300532544
7162530216200
oct34143513220
910681605481
103784218256
111672102205
128973b1154
13484000000
1427c824400
1517234ecc1
hexe18e9690

3784218256 has 105 divisors (see below), whose sum is σ = 9239718981. Its totient is φ = 1497053376.

The previous prime is 3784218227. The next prime is 3784218259. The reversal of 3784218256 is 6528124873.

The square root of 3784218256 is 61516.

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

It can be written as a sum of positive squares in 3 ways, for example, as 3246720400 + 537497856 = 56980^2 + 23184^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3784218259) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 291093706 + ... + 291093718.

Almost surely, 23784218256 is an apocalyptic number.

3784218256 is the 61516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3784218256

3784218256 is an abundant number, since it is smaller than the sum of its proper divisors (5455500725).

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

3784218256 is an frugal number, since it uses more digits than its factorization.

3784218256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 22 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The cubic root of 3784218256 is about 1558.3274667158.

The spelling of 3784218256 in words is "three billion, seven hundred eighty-four million, two hundred eighteen thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 637 676 728 784 1183 1274 1352 1456 2197 2366 2548 2704 4394 4732 5096 8281 8788 9464 10192 15379 16562 17576 18928 28561 30758 33124 35152 57122 61516 66248 107653 114244 123032 132496 199927 215306 228488 246064 371293 399854 430612 456976 742586 799708 861224 1399489 1485172 1599416 1722448 2599051 2798978 2970344 3198832 4826809 5198102 5597956 5940688 9653618 10396204 11195912 18193357 19307236 20792408 22391824 33787663 36386714 38614472 41584816 67575326 72773428 77228944 135150652 145546856 236513641 270301304 291093712 473027282 540602608 946054564 1892109128 3784218256