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2434343033032 = 2319297120873727
BaseRepresentation
bin100011011011001010001…
…001101101100011001000
322121201110112220001122021
4203123022021231203020
5304341013304024112
65102153255334224
7340606201240561
oct43331211554310
98551415801567
102434343033032
118594431a7209
12333960681374
13148732c73221
1485b73bc7168
15434c9934907
hex236ca26d8c8

2434343033032 has 128 divisors (see below), whose sum is σ = 5044073472000. Its totient is φ = 1096846168320.

The previous prime is 2434343032993. The next prime is 2434343033077. The reversal of 2434343033032 is 2303303434342.

It is a super-2 number, since 2×24343430330322 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 653162353 + ... + 653166079.

It is an arithmetic number, because the mean of its divisors is an integer number (39406824000).

Almost surely, 22434343033032 is an apocalyptic number.

It is an amenable number.

2434343033032 is an abundant number, since it is smaller than the sum of its proper divisors (2609730438968).

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

2434343033032 is a wasteful number, since it uses less digits than its factorization.

2434343033032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5939 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 34.

Adding to 2434343033032 its reverse (2303303434342), we get a palindrome (4737646467374).

The spelling of 2434343033032 in words is "two trillion, four hundred thirty-four billion, three hundred forty-three million, thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 19 29 38 58 71 76 116 142 152 232 284 551 568 1102 1349 2059 2087 2204 2698 3727 4118 4174 4408 5396 7454 8236 8348 10792 14908 16472 16696 29816 39121 39653 60523 70813 78242 79306 108083 121046 141626 148177 156484 158612 216166 242092 264617 283252 296354 312968 317224 432332 484184 529234 566504 592708 864664 1058468 1149937 1185416 2053577 2116936 2299874 2815363 4107154 4297133 4599748 5027723 5630726 7673893 7778249 8214308 8594266 9199496 10055446 11261452 15347786 15556498 16428616 17188532 20110892 22522904 30695572 31112996 34377064 40221784 61391144 62225992 81645527 145803967 147786731 163291054 225569221 291607934 295573462 326582108 451138442 552255679 583215868 591146924 653164216 902276884 1104511358 1166431736 1182293848 1804553768 2209022716 4285815199 4418045432 8571630398 10492857901 16015414691 17143260796 20985715802 32030829382 34286521592 41971431604 64061658764 83942863208 128123317528 304292879129 608585758258 1217171516516 2434343033032