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1434727280 = 24576738239
BaseRepresentation
bin101010110000100…
…0011001101110000
310200222200200211102
41111201003031300
510414242233110
6354211103532
750360660240
oct12541031560
93628620742
101434727280
11676958928
123405a1ba8
1319b31a36c
14d8791b20
1585e545a5
hex55843370

1434727280 has 80 divisors (see below), whose sum is σ = 3869276160. Its totient is φ = 484551936.

The previous prime is 1434727253. The next prime is 1434727303. The reversal of 1434727280 is 827274341.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18401 + ... + 56639.

It is an arithmetic number, because the mean of its divisors is an integer number (48365952).

Almost surely, 21434727280 is an apocalyptic number.

1434727280 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 1434727280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934638080).

1434727280 is an abundant number, since it is smaller than the sum of its proper divisors (2434548880).

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

1434727280 is a wasteful number, since it uses less digits than its factorization.

1434727280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38326 (or 38320 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 1434727280 is about 37877.7940223556. The cubic root of 1434727280 is about 1127.8632657894.

The spelling of 1434727280 in words is "one billion, four hundred thirty-four million, seven hundred twenty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 335 469 536 560 670 938 1072 1340 1876 2345 2680 3752 4690 5360 7504 9380 18760 37520 38239 76478 152956 191195 267673 305912 382390 535346 611824 764780 1070692 1338365 1529560 2141384 2562013 2676730 3059120 4282768 5124026 5353460 10248052 10706920 12810065 17934091 20496104 21413840 25620130 35868182 40992208 51240260 71736364 89670455 102480520 143472728 179340910 204961040 286945456 358681820 717363640 1434727280