Search a number
-
+
2742336 = 2634232
BaseRepresentation
bin1010011101100001000000
312011022210000
422131201000
51200223321
6134440000
732211102
oct12354100
95138700
102742336
1116033a3
12b03000
137502ac
14515572
15392826
hex29d840

2742336 has 105 divisors (see below), whose sum is σ = 8497951. Its totient is φ = 874368.

The previous prime is 2742323. The next prime is 2742343. The reversal of 2742336 is 6332472.

The square root of 2742336 is 1656.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

Its product of digits (6048) is a multiple of the sum of its prime divisors (28).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 119221 + ... + 119243.

22742336 is an apocalyptic number.

2742336 is the 1656-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2742336

2742336 is an abundant number, since it is smaller than the sum of its proper divisors (5755615).

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

2742336 is an equidigital number, since it uses as much as digits as its factorization.

2742336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 28 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The cubic root of 2742336 is about 139.9716949580.

The spelling of 2742336 in words is "two million, seven hundred forty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 529 552 576 621 648 736 828 864 1058 1104 1242 1296 1472 1587 1656 1728 1863 2116 2208 2484 2592 3174 3312 3726 4232 4416 4761 4968 5184 6348 6624 7452 8464 9522 9936 12696 13248 14283 14904 16928 19044 19872 25392 28566 29808 33856 38088 39744 42849 50784 57132 59616 76176 85698 101568 114264 119232 152352 171396 228528 304704 342792 457056 685584 914112 1371168 2742336