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1434535480 = 235717833631
BaseRepresentation
bin101010110000001…
…0100011000111000
310200222022221201201
41111200110120320
510414220113410
6354203023544
750356231120
oct12540243070
93628287651
101434535480
11676837814
1234050abb4
1319b280c81
14d8741c80
1585e1783a
hex55814638

1434535480 has 128 divisors (see below), whose sum is σ = 3953940480. Its totient is φ = 457205760.

The previous prime is 1434535451. The next prime is 1434535481. The reversal of 1434535480 is 845354341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434535481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393265 + ... + 396895.

It is an arithmetic number, because the mean of its divisors is an integer number (30890160).

Almost surely, 21434535480 is an apocalyptic number.

1434535480 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 1434535480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976970240).

1434535480 is an abundant number, since it is smaller than the sum of its proper divisors (2519405000).

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

1434535480 is a wasteful number, since it uses less digits than its factorization.

1434535480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The square root of 1434535480 is about 37875.2621113043. The cubic root of 1434535480 is about 1127.8130044801.

The spelling of 1434535480 in words is "one billion, four hundred thirty-four million, five hundred thirty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 83 85 119 136 140 166 170 238 280 332 340 415 476 581 595 664 680 830 952 1162 1190 1411 1660 2324 2380 2822 2905 3320 3631 4648 4760 5644 5810 7055 7262 9877 11288 11620 14110 14524 18155 19754 23240 25417 28220 29048 36310 39508 49385 50834 56440 61727 72620 79016 98770 101668 123454 127085 145240 197540 203336 246908 254170 301373 308635 395080 432089 493816 508340 602746 617270 864178 1016680 1205492 1234540 1506865 1728356 2109611 2160445 2410984 2469080 3013730 3456712 4219222 4320890 5123341 6027460 8438444 8641780 10246682 10548055 12054920 16876888 17283560 20493364 21096110 25616705 35863387 40986728 42192220 51233410 71726774 84384440 102466820 143453548 179316935 204933640 286907096 358633870 717267740 1434535480