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2334252032 = 21071372377
BaseRepresentation
bin1000101100100001…
…1101110000000000
320000200022021210222
42023020131300000
514240032031112
61023343042212
7111562546340
oct21310356000
96020267728
102334252032
11a98696112
125518a0368
132b27a8628
14182026d20
15d9dda372
hex8b21dc00

2334252032 has 88 divisors (see below), whose sum is σ = 5374013664. Its totient is φ = 992673792.

The previous prime is 2334251993. The next prime is 2334252071. The reversal of 2334252032 is 2302524332.

It is an interprime number because it is at equal distance from previous prime (2334251993) and next prime (2334252071).

It is a super-2 number, since 2×23342520322 = 10897465097792258048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2334251992 and 2334252010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 980828 + ... + 983204.

Almost surely, 22334252032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2334252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687006832).

2334252032 is an abundant number, since it is smaller than the sum of its proper divisors (3039761632).

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

2334252032 is a wasteful number, since it uses less digits than its factorization.

2334252032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 26.

The square root of 2334252032 is about 48314.0976527556. The cubic root of 2334252032 is about 1326.5264538174.

Adding to 2334252032 its reverse (2302524332), we get a palindrome (4636776364).

The spelling of 2334252032 in words is "two billion, three hundred thirty-four million, two hundred fifty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 137 224 256 274 448 512 548 896 959 1024 1096 1792 1918 2192 2377 3584 3836 4384 4754 7168 7672 8768 9508 15344 16639 17536 19016 30688 33278 35072 38032 61376 66556 70144 76064 122752 133112 140288 152128 245504 266224 304256 325649 491008 532448 608512 651298 982016 1064896 1217024 1302596 2129792 2279543 2434048 2605192 4259584 4559086 5210384 8519168 9118172 10420768 17038336 18236344 20841536 36472688 41683072 72945376 83366144 145890752 166732288 291781504 333464576 583563008 1167126016 2334252032