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3214120 = 235713883
BaseRepresentation
bin1100010000101100101000
320001021221111
430100230220
51310322440
6152520104
736214420
oct14205450
96037844
103214120
1118a58a8
1210b0034
13886c60
145d9480
154374ea
hex310b28

3214120 has 64 divisors (see below), whose sum is σ = 8910720. Its totient is φ = 1016064.

The previous prime is 3214109. The next prime is 3214129. The reversal of 3214120 is 214123.

3214120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 3214120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214129) 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, 3199 + ... + 4081.

It is an arithmetic number, because the mean of its divisors is an integer number (139230).

Almost surely, 23214120 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 3214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4455360).

3214120 is an abundant number, since it is smaller than the sum of its proper divisors (5696600).

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

3214120 is a wasteful number, since it uses less digits than its factorization.

3214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3214120 is about 1792.7966978997. The cubic root of 3214120 is about 147.5776857839.

Adding to 3214120 its reverse (214123), we get a palindrome (3428243).

The spelling of 3214120 in words is "three million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 883 910 1766 1820 3532 3640 4415 6181 7064 8830 11479 12362 17660 22958 24724 30905 35320 45916 49448 57395 61810 80353 91832 114790 123620 160706 229580 247240 321412 401765 459160 642824 803530 1607060 3214120