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20357304 = 23311292659
BaseRepresentation
bin100110110101…
…0000010111000
31102022020222020
41031222002320
520202413204
62004154440
7335014512
oct115520270
942266866
1020357304
1110544820
126998a20
1342a9c56
1429bcbb2
151bc1bd9
hex136a0b8

20357304 has 64 divisors (see below), whose sum is σ = 57456000. Its totient is φ = 5953920.

The previous prime is 20357287. The next prime is 20357317. The reversal of 20357304 is 40375302.

It is a super-2 number, since 2×203573042 = 828839652296832, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6327 + ... + 8985.

It is an arithmetic number, because the mean of its divisors is an integer number (897750).

Almost surely, 220357304 is an apocalyptic number.

20357304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20357304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28728000).

20357304 is an abundant number, since it is smaller than the sum of its proper divisors (37098696).

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

20357304 is a wasteful number, since it uses less digits than its factorization.

20357304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 24.

The square root of 20357304 is about 4511.9069139334. The cubic root of 20357304 is about 273.0486837730.

It can be divided in two parts, 2035 and 7304, that added together give a palindrome (9339).

The spelling of 20357304 in words is "twenty million, three hundred fifty-seven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 2659 3828 5318 7656 7977 10636 15954 21272 29249 31908 58498 63816 77111 87747 116996 154222 175494 231333 233992 308444 350988 462666 616888 701976 848221 925332 1696442 1850664 2544663 3392884 5089326 6785768 10178652 20357304