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1434506720 = 25571197641
BaseRepresentation
bin101010110000000…
…1101010111100000
310200222021111021112
41111200031113200
510414213203340
6354202242452
750356051223
oct12540152740
93628244245
101434506720
11676818149
123404b6428
1319b270b5a
14d87355ba
1585e0e065
hex5580d5e0

1434506720 has 96 divisors (see below), whose sum is σ = 3459589056. Its totient is φ = 561971200.

The previous prime is 1434506719. The next prime is 1434506743. The reversal of 1434506720 is 276054341.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 2237600 + ... + 2238240.

It is an arithmetic number, because the mean of its divisors is an integer number (36037386).

Almost surely, 21434506720 is an apocalyptic number.

1434506720 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 1434506720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1729794528).

1434506720 is an abundant number, since it is smaller than the sum of its proper divisors (2025082336).

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

1434506720 is a wasteful number, since it uses less digits than its factorization.

1434506720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 1434506720 is about 37874.8824420618. The cubic root of 1434506720 is about 1127.8054675179.

The spelling of 1434506720 in words is "one billion, four hundred thirty-four million, five hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 197 284 355 394 568 641 710 788 985 1136 1282 1420 1576 1970 2272 2564 2840 3152 3205 3940 5128 5680 6304 6410 7880 10256 11360 12820 13987 15760 20512 25640 27974 31520 45511 51280 55948 69935 91022 102560 111896 126277 139870 182044 223792 227555 252554 279740 364088 447584 455110 505108 559480 631385 728176 910220 1010216 1118960 1262770 1456352 1820440 2020432 2237920 2525540 3640880 4040864 5051080 7281760 8965667 10102160 17931334 20204320 35862668 44828335 71725336 89656670 143450672 179313340 286901344 358626680 717253360 1434506720