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3220480 = 21051737
BaseRepresentation
bin1100010010010000000000
320001121200001
430102100000
51311023410
6153005344
736242104
oct14222000
96047601
103220480
1118aa65a
1210b3854
13889b13
145db904
1543933a
hex312400

3220480 has 88 divisors (see below), whose sum is σ = 8400888. Its totient is φ = 1179648.

The previous prime is 3220471. The next prime is 3220499. The reversal of 3220480 is 840223.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1327104 + 1893376 = 1152^2 + 1376^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87022 + ... + 87058.

Almost surely, 23220480 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 3220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200444).

3220480 is an abundant number, since it is smaller than the sum of its proper divisors (5180408).

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

3220480 is a wasteful number, since it uses less digits than its factorization.

3220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 3220480 is about 1794.5695862797. The cubic root of 3220480 is about 147.6749623505.

The spelling of 3220480 in words is "three million, two hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 37 40 64 68 74 80 85 128 136 148 160 170 185 256 272 296 320 340 370 512 544 592 629 640 680 740 1024 1088 1184 1258 1280 1360 1480 2176 2368 2516 2560 2720 2960 3145 4352 4736 5032 5120 5440 5920 6290 8704 9472 10064 10880 11840 12580 17408 18944 20128 21760 23680 25160 37888 40256 43520 47360 50320 80512 87040 94720 100640 161024 189440 201280 322048 402560 644096 805120 1610240 3220480