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1434814336 = 271923113227
BaseRepresentation
bin101010110000101…
…1000011110000000
310200222212010020201
41111201120132000
510414303024321
6354213014544
750361502114
oct12541303600
93628763221
101434814336
11676a0827a
12340624454
1319b34ab87
14d87b5744
1585e70291
hex55858780

1434814336 has 128 divisors (see below), whose sum is σ = 3181420800. Its totient is φ = 641507328.

The previous prime is 1434814321. The next prime is 1434814349. The reversal of 1434814336 is 6334184341.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×14348143362 = 4117384357582241792, which contains 22 as substring.

Its product of digits (82944) is a multiple of the sum of its prime divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1434814295 and 1434814304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6320655 + ... + 6320881.

It is an arithmetic number, because the mean of its divisors is an integer number (24854850).

Almost surely, 21434814336 is an apocalyptic number.

1434814336 is a gapful number since it is divisible by the number (16) 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 1434814336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590710400).

1434814336 is an abundant number, since it is smaller than the sum of its proper divisors (1746606464).

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

1434814336 is a wasteful number, since it uses less digits than its factorization.

1434814336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 384 counting only the distinct ones).

The product of its digits is 82944, while the sum is 37.

The square root of 1434814336 is about 37878.9431742756. The cubic root of 1434814336 is about 1127.8860773903.

Adding to 1434814336 its reverse (6334184341), we get a palindrome (7768998677).

The spelling of 1434814336 in words is "one billion, four hundred thirty-four million, eight hundred fourteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 113 128 152 184 226 227 304 368 437 452 454 608 736 874 904 908 1216 1472 1748 1808 1816 2147 2432 2599 2944 3496 3616 3632 4294 4313 5198 5221 6992 7232 7264 8588 8626 10396 10442 13984 14464 14528 17176 17252 20792 20884 25651 27968 29056 34352 34504 41584 41768 49381 51302 55936 68704 69008 83168 83536 98762 99199 102604 137408 138016 166336 167072 197524 198398 205208 274816 276032 332672 334144 395048 396796 410416 487369 552064 589973 668288 790096 793592 820832 974738 1179946 1580192 1587184 1641664 1949476 2359892 3160384 3174368 3283328 3898952 4719784 6320768 6348736 7797904 9439568 11209487 12697472 15595808 18879136 22418974 31191616 37758272 44837948 62383232 75516544 89675896 179351792 358703584 717407168 1434814336