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1434100240 = 245196115467
BaseRepresentation
bin101010101111010…
…1010001000010000
310200221111211200201
41111132222020100
510414112201430
6354145424544
750352436156
oct12536521020
93627454621
101434100240
1167656a811
1234033b154
1319b15ab31
14d866b3d6
1585d7d8ca
hex557aa210

1434100240 has 80 divisors (see below), whose sum is σ = 3567539520. Its totient is φ = 534504960.

The previous prime is 1434100231. The next prime is 1434100249. The reversal of 1434100240 is 420014341.

It is an interprime number because it is at equal distance from previous prime (1434100231) and next prime (1434100249).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1434100249) by changing a digit.

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, 84987 + ... + 100453.

It is an arithmetic number, because the mean of its divisors is an integer number (44594244).

Almost surely, 21434100240 is an apocalyptic number.

1434100240 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 1434100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783769760).

1434100240 is an abundant number, since it is smaller than the sum of its proper divisors (2133439280).

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

1434100240 is a wasteful number, since it uses less digits than its factorization.

1434100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15560 (or 15554 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1434100240 is about 37869.5159726131. The cubic root of 1434100240 is about 1127.6989329471.

Adding to 1434100240 its reverse (420014341), we get a palindrome (1854114581).

The spelling of 1434100240 in words is "one billion, four hundred thirty-four million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 61 76 80 95 122 152 190 244 304 305 380 488 610 760 976 1159 1220 1520 2318 2440 4636 4880 5795 9272 11590 15467 18544 23180 30934 46360 61868 77335 92720 123736 154670 247472 293873 309340 587746 618680 943487 1175492 1237360 1469365 1886974 2350984 2938730 3773948 4701968 4717435 5877460 7547896 9434870 11754920 15095792 17926253 18869740 23509840 35852506 37739480 71705012 75478960 89631265 143410024 179262530 286820048 358525060 717050120 1434100240