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1434521440 = 255111137213
BaseRepresentation
bin101010110000001…
…0000111101100000
310200222022020110201
41111200100331200
510414214141230
6354202434544
750356142152
oct12540207540
93628266421
101434521440
11676828210
12340502a54
1319b277771
14d873aad2
1585e135ca
hex55810f60

1434521440 has 96 divisors (see below), whose sum is σ = 3730388256. Its totient is φ = 516956160.

The previous prime is 1434521401. The next prime is 1434521447. The reversal of 1434521440 is 441254341.

It is a junction number, because it is equal to n+sod(n) for n = 1434521399 and 1434521408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434521447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195274 + ... + 202486.

It is an arithmetic number, because the mean of its divisors is an integer number (38858211).

Almost surely, 21434521440 is an apocalyptic number.

1434521440 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 1434521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865194128).

1434521440 is an abundant number, since it is smaller than the sum of its proper divisors (2295866816).

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

1434521440 is a wasteful number, since it uses less digits than its factorization.

1434521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7352 (or 7344 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 1434521440 is about 37875.0767655988. The cubic root of 1434521440 is about 1127.8093251134.

Adding to 1434521440 its reverse (441254341), we get a palindrome (1875775781).

The spelling of 1434521440 in words is "one billion, four hundred thirty-four million, five hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 113 160 176 220 226 352 440 452 565 880 904 1130 1243 1760 1808 2260 2486 3616 4520 4972 6215 7213 9040 9944 12430 14426 18080 19888 24860 28852 36065 39776 49720 57704 72130 79343 99440 115408 144260 158686 198880 230816 288520 317372 396715 577040 634744 793430 815069 1154080 1269488 1586860 1630138 2538976 3173720 3260276 4075345 6347440 6520552 8150690 8965759 12694880 13041104 16301380 17931518 26082208 32602760 35863036 44828795 65205520 71726072 89657590 130411040 143452144 179315180 286904288 358630360 717260720 1434521440