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2334390128 = 247137167911
BaseRepresentation
bin1000101100100011…
…1111011101110000
320000200120022020122
42023020333131300
514240100441003
61023350025412
7111563663060
oct21310773560
96020508218
102334390128
11a9877a944
12551948268
132b2826445
141820613a0
15d9e16238
hex8b23f770

2334390128 has 80 divisors (see below), whose sum is σ = 5243664384. Its totient is φ = 986119680.

The previous prime is 2334390127. The next prime is 2334390181. The reversal of 2334390128 is 8210934332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334390127) 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 15 ways as a sum of consecutive naturals, for example, 2561993 + ... + 2562903.

Almost surely, 22334390128 is an apocalyptic number.

2334390128 is a gapful number since it is divisible by the number (28) 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 2334390128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621832192).

2334390128 is an abundant number, since it is smaller than the sum of its proper divisors (2909274256).

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

2334390128 is a wasteful number, since it uses less digits than its factorization.

2334390128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 2334390128 is about 48315.5267797010. The cubic root of 2334390128 is about 1326.5526127158.

The spelling of 2334390128 in words is "two billion, three hundred thirty-four million, three hundred ninety thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 167 274 334 548 668 911 959 1096 1169 1336 1822 1918 2192 2338 2672 3644 3836 4676 6377 7288 7672 9352 12754 14576 15344 18704 22879 25508 45758 51016 91516 102032 124807 152137 160153 183032 249614 304274 320306 366064 499228 608548 640612 873649 998456 1064959 1217096 1281224 1747298 1996912 2129918 2434192 2562448 3494596 4259836 6989192 8519672 13978384 17039344 20842769 41685538 83371076 145899383 166742152 291798766 333484304 583597532 1167195064 2334390128