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2332404352 = 27171975441
BaseRepresentation
bin1000101100000101…
…1010101010000000
320000112211102021101
42023001122222000
514234043414402
61023235304144
7111541052455
oct21301325200
96015742241
102332404352
11a97643a03
1255114b054
132b22ac625
14181aa582c
15d9b72b87
hex8b05aa80

2332404352 has 64 divisors (see below), whose sum is σ = 4945798440. Its totient is φ = 1091829760.

The previous prime is 2332404329. The next prime is 2332404359. The reversal of 2332404352 is 2534042332.

It can be written as a sum of positive squares in 4 ways, for example, as 2245243456 + 87160896 = 47384^2 + 9336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×23324043522 = 10880220122457079808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2332404352.

It is not an unprimeable number, because it can be changed into a prime (2332404359) by changing a digit.

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, 425952 + ... + 431392.

Almost surely, 22332404352 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 2332404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2472899220).

2332404352 is an abundant number, since it is smaller than the sum of its proper divisors (2613394088).

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

2332404352 is a wasteful number, since it uses less digits than its factorization.

2332404352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5669 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

The square root of 2332404352 is about 48294.9723263198. The cubic root of 2332404352 is about 1326.1763568920.

Adding to 2332404352 its reverse (2534042332), we get a palindrome (4866446684).

The spelling of 2332404352 in words is "two billion, three hundred thirty-two million, four hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 197 272 394 544 788 1088 1576 2176 3152 3349 5441 6304 6698 10882 12608 13396 21764 25216 26792 43528 53584 87056 92497 107168 174112 184994 214336 348224 369988 428672 696448 739976 1071877 1479952 2143754 2959904 4287508 5919808 8575016 11839616 17150032 18221909 34300064 36443818 68600128 72887636 137200256 145775272 291550544 583101088 1166202176 2332404352