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1434000 = 24353239
BaseRepresentation
bin101011110000110010000
32200212002010
411132012100
5331342000
650422520
715121521
oct5360620
92625063
101434000
1189a427
12591a40
133b2929
14294848
151d4d50
hex15e190

1434000 has 80 divisors (see below), whose sum is σ = 4642560. Its totient is φ = 380800.

The previous prime is 1433989. The next prime is 1434011. The reversal of 1434000 is 4341.

1434000 = T560 + T561 + ... + T568.

It is an interprime number because it is at equal distance from previous prime (1433989) and next prime (1434011).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5881 + ... + 6119.

It is an arithmetic number, because the mean of its divisors is an integer number (58032).

21434000 is an apocalyptic number.

1434000 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 1434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321280).

1434000 is an abundant number, since it is smaller than the sum of its proper divisors (3208560).

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

1434000 is a wasteful number, since it uses less digits than its factorization.

1434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1434000 is about 1197.4973903938. The cubic root of 1434000 is about 112.7672657895.

Adding to 1434000 its reverse (4341), we get a palindrome (1438341).

The spelling of 1434000 in words is "one million, four hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 239 240 250 300 375 400 478 500 600 717 750 956 1000 1195 1200 1434 1500 1912 2000 2390 2868 3000 3585 3824 4780 5736 5975 6000 7170 9560 11472 11950 14340 17925 19120 23900 28680 29875 35850 47800 57360 59750 71700 89625 95600 119500 143400 179250 239000 286800 358500 478000 717000 1434000