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1347940 = 225112557
BaseRepresentation
bin101001001000101100100
32112111000201
411021011210
5321113230
644520244
714312566
oct5110544
92474021
101347940
11840800
12550084
133826c9
14271336
151b95ca
hex149164

1347940 has 36 divisors (see below), whose sum is σ = 3116988. Its totient is φ = 489280.

The previous prime is 1347937. The next prime is 1347953. The reversal of 1347940 is 497431.

1347940 = T339 + T340 + ... + T360.

It can be written as a sum of positive squares in 2 ways, for example, as 278784 + 1069156 = 528^2 + 1034^2 .

It is a d-powerful number, because it can be written as 1 + 33 + 49 + 77 + 92 + 49 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 1347899 and 1347908.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2142 + ... + 2698.

It is an arithmetic number, because the mean of its divisors is an integer number (86583).

21347940 is an apocalyptic number.

1347940 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 1347940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558494).

1347940 is an abundant number, since it is smaller than the sum of its proper divisors (1769048).

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

1347940 is a wasteful number, since it uses less digits than its factorization.

1347940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 1347940 is about 1161.0081825724. The cubic root of 1347940 is about 110.4647007496.

The spelling of 1347940 in words is "one million, three hundred forty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 557 605 1114 1210 2228 2420 2785 5570 6127 11140 12254 24508 30635 61270 67397 122540 134794 269588 336985 673970 1347940