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1345320 = 2332537101
BaseRepresentation
bin101001000011100101000
32112100102200
411020130220
5321022240
644500200
714302134
oct5103450
92470380
101345320
11839839
1254a660
13381462
142703c4
151b8930
hex148728

1345320 has 96 divisors (see below), whose sum is σ = 4534920. Its totient is φ = 345600.

The previous prime is 1345303. The next prime is 1345343. The reversal of 1345320 is 235431.

1345320 is a `hidden beast` number, since 1 + 345 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1340964 + 4356 = 1158^2 + 66^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1345293 and 1345302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13270 + ... + 13370.

21345320 is an apocalyptic number.

1345320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1345320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267460).

1345320 is an abundant number, since it is smaller than the sum of its proper divisors (3189600).

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

1345320 is a wasteful number, since it uses less digits than its factorization.

1345320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1345320 is about 1159.8793040657. The cubic root of 1345320 is about 110.3930840028.

The spelling of 1345320 in words is "one million, three hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 101 111 120 148 180 185 202 222 296 303 333 360 370 404 444 505 555 606 666 740 808 888 909 1010 1110 1212 1332 1480 1515 1665 1818 2020 2220 2424 2664 3030 3330 3636 3737 4040 4440 4545 6060 6660 7272 7474 9090 11211 12120 13320 14948 18180 18685 22422 29896 33633 36360 37370 44844 56055 67266 74740 89688 112110 134532 149480 168165 224220 269064 336330 448440 672660 1345320