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7480340 = 2257217449
BaseRepresentation
bin11100100010010000010100
3112002001002122
4130202100110
53403332330
6424155112
7120403400
oct34422024
915061078
107480340
11424a0aa
122608a98
13171ba4a
14dca100
159cb5e5
hex722414

7480340 has 72 divisors (see below), whose sum is σ = 19391400. Its totient is φ = 2408448.

The previous prime is 7480339. The next prime is 7480351. The reversal of 7480340 is 430847.

It can be written as a sum of positive squares in 4 ways, for example, as 1882384 + 5597956 = 1372^2 + 2366^2 .

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16436 + ... + 16884.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 27480340 is an apocalyptic number.

7480340 is a gapful number since it is divisible by the number (70) 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 7480340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9695700).

7480340 is an abundant number, since it is smaller than the sum of its proper divisors (11911060).

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

7480340 is a wasteful number, since it uses less digits than its factorization.

7480340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 7480340 is about 2735.0210236852. The cubic root of 7480340 is about 195.5721961754.

The spelling of 7480340 in words is "seven million, four hundred eighty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 449 476 490 595 833 898 980 1190 1666 1796 2245 2380 3143 3332 4165 4490 6286 7633 8330 8980 12572 15266 15715 16660 22001 30532 31430 38165 44002 53431 62860 76330 88004 106862 110005 152660 213724 220010 267155 374017 440020 534310 748034 1068620 1496068 1870085 3740170 7480340