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2294584032 = 253135213529
BaseRepresentation
bin1000100011000100…
…1001001011100000
312220220122221112210
42020301021023200
514144403142112
61015404522120
7110601433236
oct21061111340
95826587483
102294584032
11a78261a44
12540550340
132a74c9c40
1417aa5c956
15d66a1b3c
hex88c492e0

2294584032 has 96 divisors (see below), whose sum is σ = 6500904480. Its totient is φ = 704471040.

The previous prime is 2294584021. The next prime is 2294584037. The reversal of 2294584032 is 2304854922.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2294584037) 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 15 ways as a sum of consecutive naturals, for example, 648444 + ... + 651972.

It is an arithmetic number, because the mean of its divisors is an integer number (67717755).

Almost surely, 22294584032 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 2294584032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250452240).

2294584032 is an abundant number, since it is smaller than the sum of its proper divisors (4206320448).

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

2294584032 is a wasteful number, since it uses less digits than its factorization.

2294584032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076 (or 4068 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 2294584032 is about 47901.8165835076. The cubic root of 2294584032 is about 1318.9692044381.

The spelling of 2294584032 in words is "two billion, two hundred ninety-four million, five hundred eighty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 521 624 1042 1248 1563 2084 3126 3529 4168 6252 6773 7058 8336 10587 12504 13546 14116 16672 20319 21174 25008 27092 28232 40638 42348 45877 50016 54184 56464 81276 84696 91754 108368 112928 137631 162552 169392 183508 216736 275262 325104 338784 367016 550524 650208 734032 1101048 1468064 1838609 2202096 3677218 4404192 5515827 7354436 11031654 14708872 22063308 23901917 29417744 44126616 47803834 58835488 71705751 88253232 95607668 143411502 176506464 191215336 286823004 382430672 573646008 764861344 1147292016 2294584032