Search a number
-
+
270390744 = 23331396293
BaseRepresentation
bin10000000111011…
…101010111011000
3200211210021101000
4100013131113120
51023210000434
642455225000
76462166131
oct2007352730
9624707330
10270390744
111296a0628
1276678160
1344031930
1427ca6c88
1518b10b99
hex101dd5d8

270390744 has 64 divisors (see below), whose sum is σ = 808869600. Its totient is φ = 83196288.

The previous prime is 270390727. The next prime is 270390749. The reversal of 270390744 is 447093072.

It is a super-2 number, since 2×2703907442 = 146222308881747072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 270390699 and 270390708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270390749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45339 + ... + 50954.

Almost surely, 2270390744 is an apocalyptic number.

270390744 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

270390744 is an abundant number, since it is smaller than the sum of its proper divisors (538478856).

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

270390744 is a wasteful number, since it uses less digits than its factorization.

270390744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96321 (or 96311 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 270390744 is about 16443.5623877553. The cubic root of 270390744 is about 646.6420465113.

The spelling of 270390744 in words is "two hundred seventy million, three hundred ninety thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 96293 192586 288879 385172 577758 770344 866637 1155516 1251809 1733274 2311032 2503618 2599911 3466548 3755427 5007236 5199822 6933096 7510854 10014472 10399644 11266281 15021708 20799288 22532562 30043416 33798843 45065124 67597686 90130248 135195372 270390744