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32830116 = 223113171113
BaseRepresentation
bin111110100111…
…1001010100100
32021202221110020
41331033022210
531401030431
63131355140
7546023424
oct175171244
967687406
1032830116
1117593830
12abb2ab0
136a56207
144508484
152d37696
hex1f4f2a4

32830116 has 96 divisors (see below), whose sum is σ = 88252416. Its totient is φ = 9408000.

The previous prime is 32830103. The next prime is 32830129. The reversal of 32830116 is 61103823.

It is an interprime number because it is at equal distance from previous prime (32830103) and next prime (32830129).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290476 + ... + 290588.

It is an arithmetic number, because the mean of its divisors is an integer number (919296).

Almost surely, 232830116 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 32830116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44126208).

32830116 is an abundant number, since it is smaller than the sum of its proper divisors (55422300).

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

32830116 is a wasteful number, since it uses less digits than its factorization.

32830116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 32830116 is about 5729.7570629129. The cubic root of 32830116 is about 320.2020728894.

Adding to 32830116 its reverse (61103823), we get a palindrome (93933939).

The spelling of 32830116 in words is "thirty-two million, eight hundred thirty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 71 93 113 124 132 142 186 213 226 284 339 341 372 426 452 678 682 781 852 1023 1243 1356 1364 1562 2046 2201 2343 2486 3124 3503 3729 4092 4402 4686 4972 6603 7006 7458 8023 8804 9372 10509 13206 14012 14916 16046 21018 24069 24211 26412 32092 38533 42036 48138 48422 72633 77066 88253 96276 96844 115599 145266 154132 176506 231198 248713 264759 290532 353012 462396 497426 529518 746139 994852 1059036 1492278 2735843 2984556 5471686 8207529 10943372 16415058 32830116