Search a number
-
+
331776256 = 287226449
BaseRepresentation
bin10011110001101…
…000000100000000
3212010021222110111
4103301220010000
51134413320011
652531041104
711136023500
oct2361500400
9763258414
10331776256
11160308459
1293140194
1353975416
14320c5a00
151e1d9121
hex13c68100

331776256 has 54 divisors (see below), whose sum is σ = 770409150. Its totient is φ = 142184448.

The previous prime is 331776241. The next prime is 331776257. The reversal of 331776256 is 652677133.

It can be written as a sum of positive squares in only one way, i.e., 218566656 + 113209600 = 14784^2 + 10640^2 .

It is a super-2 number, since 2×3317762562 = 220150968090755072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331776257) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 681 + ... + 25768.

Almost surely, 2331776256 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 331776256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385204575).

331776256 is an abundant number, since it is smaller than the sum of its proper divisors (438632894).

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

331776256 is an equidigital number, since it uses as much as digits as its factorization.

331776256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26479 (or 26458 counting only the distinct ones).

The product of its digits is 158760, while the sum is 40.

The square root of 331776256 is about 18214.7263498522. The cubic root of 331776256 is about 692.2799718030.

It can be divided in two parts, 331776 and 256, that multiplied together give a 4-th power (84934656 = 964).

The spelling of 331776256 in words is "three hundred thirty-one million, seven hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 3136 6272 12544 26449 52898 105796 185143 211592 370286 423184 740572 846368 1296001 1481144 1692736 2592002 2962288 3385472 5184004 5924576 6770944 10368008 11849152 20736016 23698304 41472032 47396608 82944064 165888128 331776256