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1380312 = 2332191009
BaseRepresentation
bin101010000111111011000
32121010102200
411100333120
5323132222
645330200
714506143
oct5207730
92533380
101380312
1186305a
12566960
1339436b
1427d05a
151c3eac
hex150fd8

1380312 has 48 divisors (see below), whose sum is σ = 3939000. Its totient is φ = 435456.

The previous prime is 1380307. The next prime is 1380317. The reversal of 1380312 is 2130831.

It is an interprime number because it is at equal distance from previous prime (1380307) and next prime (1380317).

It is a super-2 number, since 2×13803122 = 3810522434688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 864 + ... + 1872.

21380312 is an apocalyptic number.

1380312 is a gapful number since it is divisible by the number (12) 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 1380312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1969500).

1380312 is an abundant number, since it is smaller than the sum of its proper divisors (2558688).

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

1380312 is a wasteful number, since it uses less digits than its factorization.

1380312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1380312 is about 1174.8668009609. The cubic root of 1380312 is about 111.3420178802.

The spelling of 1380312 in words is "one million, three hundred eighty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1009 1368 2018 3027 4036 6054 8072 9081 12108 18162 19171 24216 36324 38342 57513 72648 76684 115026 153368 172539 230052 345078 460104 690156 1380312