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3432020112 = 243317557839
BaseRepresentation
bin1100110010010000…
…0111100010010000
322212011221200112000
43030210013202100
524012044120422
61324320034000
7151022455353
oct31444074220
98764850460
103432020112
111501316564
127b9462900
13429057441
14247b4429a
1515147ecac
hexcc907890

3432020112 has 160 divisors (see below), whose sum is σ = 10461830400. Its totient is φ = 1073498112.

The previous prime is 3432020093. The next prime is 3432020113. The reversal of 3432020112 is 2110202343.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3432020113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4090189 + ... + 4091027.

It is an arithmetic number, because the mean of its divisors is an integer number (65386440).

Almost surely, 23432020112 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 3432020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230915200).

3432020112 is an abundant number, since it is smaller than the sum of its proper divisors (7029810288).

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

3432020112 is a wasteful number, since it uses less digits than its factorization.

3432020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3432020112 is about 58583.4457163455. The cubic root of 3432020112 is about 1508.4002929023.

Adding to 3432020112 its reverse (2110202343), we get a palindrome (5542222455).

The spelling of 3432020112 in words is "three billion, four hundred thirty-two million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 557 612 816 839 918 1114 1224 1671 1678 1836 2228 2448 2517 3342 3356 3672 4456 5013 5034 6684 6712 7344 7551 8912 9469 10026 10068 13368 13424 14263 15039 15102 18938 20052 20136 22653 26736 28407 28526 30078 30204 37876 40104 40272 42789 45306 56814 57052 60156 60408 75752 80208 85221 85578 90612 113628 114104 120312 120816 128367 151504 170442 171156 181224 227256 228208 240624 255663 256734 340884 342312 362448 385101 454512 467323 511326 513468 681768 684624 770202 934646 1022652 1026936 1363536 1401969 1540404 1869292 2045304 2053872 2803938 3080808 3738584 4090608 4205907 5607876 6161616 7477168 7944491 8411814 11215752 12617721 15888982 16823628 22431504 23833473 25235442 31777964 33647256 47666946 50470884 63555928 67294512 71500419 95333892 100941768 127111856 143000838 190667784 201883536 214501257 286001676 381335568 429002514 572003352 858005028 1144006704 1716010056 3432020112