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1434311240 = 23559210301
BaseRepresentation
bin101010101111101…
…1101101001001000
310200221220120010112
41111133131221020
510414140424430
6354154133452
750354305265
oct12537355110
93627816115
101434311240
116766a429a
12340421288
1319b202b9b
14d86c426c
1585dc1195
hex557dda48

1434311240 has 48 divisors (see below), whose sum is σ = 3283144380. Its totient is φ = 563945600.

The previous prime is 1434311237. The next prime is 1434311243. The reversal of 1434311240 is 421134341.

It is an interprime number because it is at equal distance from previous prime (1434311237) and next prime (1434311243).

It can be written as a sum of positive squares in 2 ways, for example, as 1364120356 + 70190884 = 36934^2 + 8378^2 .

It is not an unprimeable number, because it can be changed into a prime (1434311243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 134090 + ... + 144390.

Almost surely, 21434311240 is an apocalyptic number.

1434311240 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 1434311240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641572190).

1434311240 is an abundant number, since it is smaller than the sum of its proper divisors (1848833140).

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

1434311240 is a wasteful number, since it uses less digits than its factorization.

1434311240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10430 (or 10367 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1434311240 is about 37872.3017520721. The cubic root of 1434311240 is about 1127.7542365676.

Adding to 1434311240 its reverse (421134341), we get a palindrome (1855445581).

The spelling of 1434311240 in words is "one billion, four hundred thirty-four million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 1180 2360 3481 6962 10301 13924 17405 20602 27848 34810 41204 51505 69620 82408 103010 139240 206020 412040 607759 1215518 2431036 3038795 4862072 6077590 12155180 24310360 35857781 71715562 143431124 179288905 286862248 358577810 717155620 1434311240