[go: up one dir, main page]

Search a number
-
+
30277440 = 2632510513
BaseRepresentation
bin111001101111…
…1111101000000
32002222020211200
41303133331000
530222334230
63000541200
7515232264
oct163377500
962866750
1030277440
11160aa986
12a181800
13637135b
1440420a4
1529d1160
hex1cdff40

30277440 has 84 divisors (see below), whose sum is σ = 104151684. Its totient is φ = 8073216.

The previous prime is 30277409. The next prime is 30277441. The reversal of 30277440 is 4477203.

It can be written as a sum of positive squares in 2 ways, for example, as 3154176 + 27123264 = 1776^2 + 5208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30277441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2377 + ... + 8136.

It is an arithmetic number, because the mean of its divisors is an integer number (1239901).

Almost surely, 230277440 is an apocalyptic number.

30277440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30277440 is an abundant number, since it is smaller than the sum of its proper divisors (73874244).

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

30277440 is a wasteful number, since it uses less digits than its factorization.

30277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 30277440 is about 5502.4939800058. The cubic root of 30277440 is about 311.6781691288.

The spelling of 30277440 in words is "thirty million, two hundred seventy-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 10513 21026 31539 42052 52565 63078 84104 94617 105130 126156 157695 168208 189234 210260 252312 315390 336416 378468 420520 473085 504624 630780 672832 756936 841040 946170 1009248 1261560 1513872 1682080 1892340 2018496 2523120 3027744 3364160 3784680 5046240 6055488 7569360 10092480 15138720 30277440