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1434002240 = 265112631549
BaseRepresentation
bin101010101111001…
…0010001101000000
310200221022212021002
41111132102031000
510414101032430
6354143351132
750351550356
oct12536221500
93627285232
101434002240
11676503120
123402b24a8
1319b125348
14d86437d6
1585d5e845
hex55792340

1434002240 has 112 divisors (see below), whose sum is σ = 3741724800. Its totient is φ = 519137280.

The previous prime is 1434002231. The next prime is 1434002243. The reversal of 1434002240 is 422004341.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434002243) 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, 924986 + ... + 926534.

Almost surely, 21434002240 is an apocalyptic number.

1434002240 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 1434002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870862400).

1434002240 is an abundant number, since it is smaller than the sum of its proper divisors (2307722560).

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

1434002240 is a wasteful number, since it uses less digits than its factorization.

1434002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1434002240 is about 37868.2220337845. Note that the first 3 decimals coincide. The cubic root of 1434002240 is about 1127.6732450605.

Adding to 1434002240 its reverse (422004341), we get a palindrome (1856006581).

The spelling of 1434002240 in words is "one billion, four hundred thirty-four million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 263 320 352 440 526 704 880 1052 1315 1549 1760 2104 2630 2893 3098 3520 4208 5260 5786 6196 7745 8416 10520 11572 12392 14465 15490 16832 17039 21040 23144 24784 28930 30980 34078 42080 46288 49568 57860 61960 68156 84160 85195 92576 99136 115720 123920 136312 170390 185152 231440 247840 272624 340780 407387 462880 495680 545248 681560 814774 925760 1090496 1363120 1629548 2036935 2726240 3259096 4073870 4481257 5452480 6518192 8147740 8962514 13036384 16295480 17925028 22406285 26072768 32590960 35850056 44812570 65181920 71700112 89625140 130363840 143400224 179250280 286800448 358500560 717001120 1434002240