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4730440 = 2351113827
BaseRepresentation
bin10010000010111001001000
322220022221111
4102002321020
52202333230
6245220104
755131241
oct22027110
98808844
104730440
112741060
121701634
13c981a0
148b1cc8
1563692a
hex482e48

4730440 has 64 divisors (see below), whose sum is σ = 12519360. Its totient is φ = 1585920.

The previous prime is 4730431. The next prime is 4730447. The reversal of 4730440 is 440374.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 44 + 73 + 312 + 0 + 46 + 411 + 0 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (4730447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5307 + ... + 6133.

It is an arithmetic number, because the mean of its divisors is an integer number (195615).

Almost surely, 24730440 is an apocalyptic number.

4730440 is a gapful number since it is divisible by the number (40) 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 4730440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259680).

4730440 is an abundant number, since it is smaller than the sum of its proper divisors (7788920).

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

4730440 is a wasteful number, since it uses less digits than its factorization.

4730440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 4730440 is about 2174.9574708486. The cubic root of 4730440 is about 167.8677152150.

The spelling of 4730440 in words is "four million, seven hundred thirty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 827 1144 1430 1654 2860 3308 4135 5720 6616 8270 9097 10751 16540 18194 21502 33080 36388 43004 45485 53755 72776 86008 90970 107510 118261 181940 215020 236522 363880 430040 473044 591305 946088 1182610 2365220 4730440