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1345400 = 23527312
BaseRepresentation
bin101001000011101111000
32112100112122
411020131320
5321023100
644500412
714302310
oct5103570
92470478
101345400
11839901
1254a708
133814c4
14270440
151b8985
hex148778

1345400 has 72 divisors (see below), whose sum is σ = 3693960. Its totient is φ = 446400.

The previous prime is 1345361. The next prime is 1345423. The reversal of 1345400 is 45431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 43385 + ... + 43415.

It is an arithmetic number, because the mean of its divisors is an integer number (51305).

21345400 is an apocalyptic number.

1345400 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 1345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846980).

1345400 is an abundant number, since it is smaller than the sum of its proper divisors (2348560).

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

1345400 is a wasteful number, since it uses less digits than its factorization.

1345400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 1345400 is about 1159.9137898999. The cubic root of 1345400 is about 110.3952721493.

The spelling of 1345400 in words is "one million, three hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 140 155 175 200 217 248 280 310 350 434 620 700 775 868 961 1085 1240 1400 1550 1736 1922 2170 3100 3844 4340 4805 5425 6200 6727 7688 8680 9610 10850 13454 19220 21700 24025 26908 33635 38440 43400 48050 53816 67270 96100 134540 168175 192200 269080 336350 672700 1345400