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1032434103304 = 231922937333049
BaseRepresentation
bin11110000011000011101…
…11100011010000001000
310122200220002220120212101
433001201313203100020
5113403411112301204
62110143233523144
7134406452036662
oct17014167432010
93580802816771
101032434103304
1136894215484a
121481141134b4
1376486a2a146
1437d81c6b532
151bcc8e00ea4
hexf061de3408

1032434103304 has 96 divisors (see below), whose sum is σ = 2119242015000. Its totient is φ = 470903860224.

The previous prime is 1032434103299. The next prime is 1032434103317. The reversal of 1032434103304 is 4033014342301.

It can be written as a sum of positive squares in 4 ways, for example, as 579276254404 + 453157848900 = 761102^2 + 673170^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31222972 + ... + 31256020.

Almost surely, 21032434103304 is an apocalyptic number.

It is an amenable number.

1032434103304 is an abundant number, since it is smaller than the sum of its proper divisors (1086807911696).

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

1032434103304 is a wasteful number, since it uses less digits than its factorization.

1032434103304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33495 (or 33472 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 1032434103304 its reverse (4033014342301), we get a palindrome (5065448445605).

The spelling of 1032434103304 in words is "one trillion, thirty-two billion, four hundred thirty-four million, one hundred three thousand, three hundred four".

Divisors: 1 2 4 8 19 29 38 58 76 116 152 232 361 373 551 722 746 1102 1444 1492 2204 2888 2984 4408 7087 10469 10817 14174 20938 21634 28348 33049 41876 43268 56696 66098 83752 86536 132196 134653 205523 264392 269306 411046 538612 627931 822092 958421 1077224 1255862 1644184 1916842 2511724 3833684 3904937 5023448 7667368 7809874 11930689 12327277 15619748 18209999 23861378 24654554 31239496 36419998 47722756 49309108 72839996 95445512 98618216 145679992 234218263 345989981 357491033 468436526 691979962 714982066 936873052 1383959924 1429964132 1873746104 2767919848 2859928264 4450146997 6792329627 8900293994 13584659254 17800587988 27169318508 35601175976 54338637016 129054262913 258108525826 516217051652 1032434103304