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30682240 = 275191251
BaseRepresentation
bin111010100001…
…0110010000000
32010201211010021
41311002302000
530323312430
63013343224
7521536411
oct165026200
963654107
1030682240
1116357026
12a337b14
136483694
144109808
152a6107a
hex1d42c80

30682240 has 64 divisors (see below), whose sum is σ = 74027520. Its totient is φ = 12160000.

The previous prime is 30682199. The next prime is 30682243. The reversal of 30682240 is 4228603.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30682243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122115 + ... + 122365.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 230682240 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 30682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760).

30682240 is an abundant number, since it is smaller than the sum of its proper divisors (43345280).

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

30682240 is a wasteful number, since it uses less digits than its factorization.

30682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 30682240 is about 5539.1551702403. The cubic root of 30682240 is about 313.0610380202.

The spelling of 30682240 in words is "thirty million, six hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 191 251 320 382 502 640 764 955 1004 1255 1528 1910 2008 2510 3056 3820 4016 5020 6112 7640 8032 10040 12224 15280 16064 20080 24448 30560 32128 40160 47941 61120 80320 95882 122240 160640 191764 239705 383528 479410 767056 958820 1534112 1917640 3068224 3835280 6136448 7670560 15341120 30682240