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30504420 = 223251371237
BaseRepresentation
bin111010001011…
…1010111100100
32010101210012100
41310113113210
530302120140
63005452100
7520166112
oct164272744
963353170
1030504420
1116245471
12a271030
13642076b
1440a0ab2
152a28530
hex1d175e4

30504420 has 72 divisors (see below), whose sum is σ = 93280824. Its totient is φ = 8068608.

The previous prime is 30504407. The next prime is 30504421. The reversal of 30504420 is 2440503.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7001316 + 23503104 = 2646^2 + 4848^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30504393 and 30504402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30504421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24042 + ... + 25278.

It is an arithmetic number, because the mean of its divisors is an integer number (1295567).

Almost surely, 230504420 is an apocalyptic number.

30504420 is a gapful number since it is divisible by the number (30) 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 30504420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46640412).

30504420 is an abundant number, since it is smaller than the sum of its proper divisors (62776404).

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

30504420 is a wasteful number, since it uses less digits than its factorization.

30504420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 30504420 is about 5523.0806620943. The cubic root of 30504420 is about 312.4550804768.

Adding to 30504420 its reverse (2440503), we get a palindrome (32944923).

The spelling of 30504420 in words is "thirty million, five hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 137 180 274 411 548 685 822 1233 1237 1370 1644 2055 2466 2474 2740 3711 4110 4932 4948 6165 6185 7422 8220 11133 12330 12370 14844 18555 22266 24660 24740 37110 44532 55665 74220 111330 169469 222660 338938 508407 677876 847345 1016814 1525221 1694690 2033628 2542035 3050442 3389380 5084070 6100884 7626105 10168140 15252210 30504420