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401310 = 23257313
BaseRepresentation
bin1100001111110011110
3202101111100
41201332132
5100320220
612333530
73261000
oct1417636
9671440
10401310
11254568
121742a6
13110880
14a6370
157dd90
hex61f9e

401310 has 96 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 84672.

The previous prime is 401309. The next prime is 401311. The reversal of 401310 is 13104.

It is an interprime number because it is at equal distance from previous prime (401309) and next prime (401311).

It is a super-2 number, since 2×4013102 = 322099432200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 401292 and 401301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30864 + ... + 30876.

It is an arithmetic number, because the mean of its divisors is an integer number (13650).

2401310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

401310 is an abundant number, since it is smaller than the sum of its proper divisors (909090).

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

401310 is a wasteful number, since it uses less digits than its factorization.

401310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 401310 is about 633.4903314179. The cubic root of 401310 is about 73.7609770121.

Adding to 401310 its reverse (13104), we get a palindrome (414414).

The spelling of 401310 in words is "four hundred one thousand, three hundred ten", and thus it is an iban number.

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 49 63 65 70 78 90 91 98 105 117 126 130 147 182 195 210 234 245 273 294 315 343 390 441 455 490 546 585 630 637 686 735 819 882 910 1029 1170 1274 1365 1470 1638 1715 1911 2058 2205 2730 3087 3185 3430 3822 4095 4410 4459 5145 5733 6174 6370 8190 8918 9555 10290 11466 13377 15435 19110 22295 26754 28665 30870 40131 44590 57330 66885 80262 133770 200655 401310