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1434014240 = 2558321301
BaseRepresentation
bin101010101111001…
…0101001000100000
310200221100110201112
41111132111020200
510414101423430
6354143522452
750351630351
oct12536251040
93627313645
101434014240
1167651113a
123402b9428
1319b12a949
14d8647d28
1585d63195
hex55795220

1434014240 has 72 divisors (see below), whose sum is σ = 3431803788. Its totient is φ = 566259200.

The previous prime is 1434014201. The next prime is 1434014251. The reversal of 1434014240 is 424104341.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1169366416 + 264647824 = 34196^2 + 16268^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 1101590 + ... + 1102890.

Almost surely, 21434014240 is an apocalyptic number.

1434014240 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 1434014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715901894).

1434014240 is an abundant number, since it is smaller than the sum of its proper divisors (1997789548).

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

1434014240 is an equidigital number, since it uses as much as digits as its factorization.

1434014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 1434014240 is about 37868.3804776492. The cubic root of 1434014240 is about 1127.6763905789.

Adding to 1434014240 its reverse (424104341), we get a palindrome (1858118581).

The spelling of 1434014240 in words is "one billion, four hundred thirty-four million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1301 1328 1660 2602 2656 3320 5204 6505 6640 6889 10408 13010 13280 13778 20816 26020 27556 34445 41632 52040 55112 68890 104080 107983 110224 137780 208160 215966 220448 275560 431932 539915 551120 863864 1079830 1102240 1727728 2159660 3455456 4319320 8638640 8962589 17277280 17925178 35850356 44812945 71700712 89625890 143401424 179251780 286802848 358503560 717007120 1434014240