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3401320 = 2351331211
BaseRepresentation
bin1100111110011001101000
320101210201211
430332121220
51332320240
6200522504
740624246
oct14763150
96353654
103401320
111a1350a
121180434
13921220
14647796
15472bea
hex33e668

3401320 has 64 divisors (see below), whose sum is σ = 8547840. Its totient is φ = 1209600.

The previous prime is 3401317. The next prime is 3401327. The reversal of 3401320 is 231043.

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 3401320.

It is not an unprimeable number, because it can be changed into a prime (3401327) 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, 16015 + ... + 16225.

It is an arithmetic number, because the mean of its divisors is an integer number (133560).

Almost surely, 23401320 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 3401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273920).

3401320 is an abundant number, since it is smaller than the sum of its proper divisors (5146520).

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

3401320 is a wasteful number, since it uses less digits than its factorization.

3401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 3401320 is about 1844.2667919799. The cubic root of 3401320 is about 150.3889166799.

Adding to 3401320 its reverse (231043), we get a palindrome (3632363).

It can be divided in two parts, 3401 and 320, that added together give a square (3721 = 612).

The spelling of 3401320 in words is "three million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 211 248 260 310 403 422 520 620 806 844 1055 1240 1612 1688 2015 2110 2743 3224 4030 4220 5486 6541 8060 8440 10972 13082 13715 16120 21944 26164 27430 32705 52328 54860 65410 85033 109720 130820 170066 261640 340132 425165 680264 850330 1700660 3401320