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30820704 = 253378677
BaseRepresentation
bin111010110010…
…0100101100000
32010222212001120
41311210211200
530342230304
63020332240
7522654165
oct165444540
963885046
1030820704
1116441062
12a3a4080
136501705
14414406c
152a8c0d9
hex1d64960

30820704 has 48 divisors (see below), whose sum is σ = 83100528. Its totient is φ = 9994752.

The previous prime is 30820703. The next prime is 30820721. The reversal of 30820704 is 40702803.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30820703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 787 + ... + 7890.

It is an arithmetic number, because the mean of its divisors is an integer number (1731261).

Almost surely, 230820704 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 30820704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41550264).

30820704 is an abundant number, since it is smaller than the sum of its proper divisors (52279824).

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

30820704 is a wasteful number, since it uses less digits than its factorization.

30820704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8727 (or 8719 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 30820704 is about 5551.6397577653. The cubic root of 30820704 is about 313.5312627009.

It can be divided in two parts, 308 and 20704, that added together give a palindrome (21012).

The spelling of 30820704 in words is "thirty million, eight hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 8677 17354 26031 34708 52062 69416 104124 138832 208248 277664 321049 416496 642098 832992 963147 1284196 1926294 2568392 3852588 5136784 7705176 10273568 15410352 30820704