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1338216 = 2331137137
BaseRepresentation
bin101000110101101101000
32111222200120
411012231220
5320310331
644403240
714242335
oct5065550
92458616
101338216
11834470
12546520
1337b159
1426b98c
151b6796
hex146b68

1338216 has 64 divisors (see below), whose sum is σ = 3775680. Its totient is φ = 391680.

The previous prime is 1338167. The next prime is 1338217. The reversal of 1338216 is 6128331.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1338217) 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, 9700 + ... + 9836.

It is an arithmetic number, because the mean of its divisors is an integer number (58995).

21338216 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 1338216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887840).

1338216 is an abundant number, since it is smaller than the sum of its proper divisors (2437464).

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

1338216 is a wasteful number, since it uses less digits than its factorization.

1338216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 190 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 1338216 is about 1156.8128629990. The cubic root of 1338216 is about 110.1984297149.

The spelling of 1338216 in words is "one million, three hundred thirty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 137 148 222 264 274 296 407 411 444 548 814 822 888 1096 1221 1507 1628 1644 2442 3014 3256 3288 4521 4884 5069 6028 9042 9768 10138 12056 15207 18084 20276 30414 36168 40552 55759 60828 111518 121656 167277 223036 334554 446072 669108 1338216