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2304430344032 = 25971674499901
BaseRepresentation
bin100001100010001010110…
…000001000011101100000
322011022010201020200012012
4201202022300020131200
5300223433132002112
64522350215452052
7325326634506335
oct41421260103540
98138121220165
102304430344032
11809337942133
12312745087028
131393cb1bb70b
147d76c16898c
153ee245bb022
hex2188ac08760

2304430344032 has 96 divisors (see below), whose sum is σ = 4621802068800. Its totient is φ = 1130869555200.

The previous prime is 2304430344017. The next prime is 2304430344043.

2304430344032 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2304430344032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232742282 + ... + 232752182.

It is an arithmetic number, because the mean of its divisors is an integer number (48143771550).

Almost surely, 22304430344032 is an apocalyptic number.

It is an amenable number.

2304430344032 is an abundant number, since it is smaller than the sum of its proper divisors (2317371724768).

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

2304430344032 is a wasteful number, since it uses less digits than its factorization.

2304430344032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10624 (or 10616 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

It can be divided in two parts, 2304430 and 344032, that added together give a palindrome (2648462).

The spelling of 2304430344032 in words is "two trillion, three hundred four billion, four hundred thirty million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 97 167 194 334 388 449 668 776 898 1336 1552 1796 2672 3104 3592 5344 7184 9901 14368 16199 19802 32398 39604 43553 64796 74983 79208 87106 129592 149966 158416 174212 259184 299932 316832 348424 518368 599864 696848 960397 1199728 1393696 1653467 1920794 2399456 3306934 3841588 4445549 6613868 7273351 7683176 8891098 13227736 14546702 15366352 17782196 26455472 29093404 30732704 35564392 52910944 58186808 71128784 116373616 142257568 160386299 232747232 320772598 431218253 641545196 742406683 862436506 1283090392 1484813366 1724873012 2566180784 2969626732 3449746024 5132361568 5939253464 6899492048 11878506928 13798984096 23757013856 72013448251 144026896502 288053793004 576107586008 1152215172016 2304430344032