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4381380 = 22325101241
BaseRepresentation
bin10000101101101011000100
322020121010100
4100231223010
52110201010
6233524100
752145463
oct20555304
98217110
104381380
112522883
121573630
13ba5343
148209da
155b82c0
hex42dac4

4381380 has 72 divisors (see below), whose sum is σ = 13477464. Its totient is φ = 1152000.

The previous prime is 4381379. The next prime is 4381409. The reversal of 4381380 is 831834.

It can be written as a sum of positive squares in 4 ways, for example, as 2022084 + 2359296 = 1422^2 + 1536^2 .

It is an Ulam 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, 18060 + ... + 18300.

It is an arithmetic number, because the mean of its divisors is an integer number (187187).

Almost surely, 24381380 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 4381380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6738732).

4381380 is an abundant number, since it is smaller than the sum of its proper divisors (9096084).

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

4381380 is a wasteful number, since it uses less digits than its factorization.

4381380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4381380 is about 2093.1746224336. The cubic root of 4381380 is about 163.6327793828.

It can be divided in two parts, 4381 and 380, that added together give a square (4761 = 692).

The spelling of 4381380 in words is "four million, three hundred eighty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 241 303 404 482 505 606 723 909 964 1010 1205 1212 1446 1515 1818 2020 2169 2410 2892 3030 3615 3636 4338 4545 4820 6060 7230 8676 9090 10845 14460 18180 21690 24341 43380 48682 73023 97364 121705 146046 219069 243410 292092 365115 438138 486820 730230 876276 1095345 1460460 2190690 4381380