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332420431134 = 2311311095212861
BaseRepresentation
bin1001101011001011100…
…11010011110100011110
31011210000221200120102210
410311211303103310132
520421244112244014
6412413431301250
733005455020621
oct4654563236436
91153027616383
10332420431134
11118a84738040
1254512b1a826
13254687b407c
1412136c07db8
1589a8a47859
hex4d65cd3d1e

332420431134 has 128 divisors (see below), whose sum is σ = 757260472320. Its totient is φ = 96370560000.

The previous prime is 332420431093. The next prime is 332420431139. The reversal of 332420431134 is 431134024233.

It is a happy number.

It is a super-2 number, since 2×3324204311342 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332420431139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 116188864 + ... + 116191724.

It is an arithmetic number, because the mean of its divisors is an integer number (5916097440).

Almost surely, 2332420431134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332420431134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378630236160).

332420431134 is an abundant number, since it is smaller than the sum of its proper divisors (424840041186).

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

332420431134 is a wasteful number, since it uses less digits than its factorization.

332420431134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 332420431134 its reverse (431134024233), we get a palindrome (763554455367).

The spelling of 332420431134 in words is "three hundred thirty-two billion, four hundred twenty million, four hundred thirty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 109 186 218 327 341 521 654 682 1023 1042 1199 1563 2046 2398 2861 3126 3379 3597 5722 5731 6758 7194 8583 10137 11462 16151 17166 17193 20274 31471 32302 34386 37169 48453 56789 62942 74338 88691 94413 96906 111507 113578 170367 177382 177661 188826 223014 266073 311849 340734 355322 532146 532983 623698 624679 935547 975601 1065966 1249358 1490581 1760459 1871094 1874037 1951202 2926803 2981162 3430339 3520918 3748074 4471743 5281377 5853606 6860678 8943486 9667319 10291017 10562754 16396391 19334638 19365049 20582034 29001957 32792782 38730098 46208011 49189173 58003914 58095147 92416022 98378346 106340509 116190294 138624033 162473329 212681018 277248066 319021527 324946658 487419987 508288121 638043054 974839974 1016576242 1524864363 1787206619 3049728726 3574413238 5036673199 5361619857 10073346398 10723239714 15110019597 30220039194 55403405189 110806810378 166210215567 332420431134