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31804164 = 2234737379
BaseRepresentation
bin111100101010…
…0101100000100
32012211211010000
41321110230010
531120213124
63053401300
7534221340
oct171245404
965754100
1031804164
1116a52a37
12a799230
136787242
14431c620
152bd36c9
hex1e54b04

31804164 has 120 divisors (see below), whose sum is σ = 97845440. Its totient is φ = 8817984.

The previous prime is 31804159. The next prime is 31804177. The reversal of 31804164 is 46140813.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83727 + ... + 84105.

Almost surely, 231804164 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 31804164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48922720).

31804164 is an abundant number, since it is smaller than the sum of its proper divisors (66041276).

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

31804164 is a wasteful number, since it uses less digits than its factorization.

31804164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 31804164 is about 5639.5180645158. The cubic root of 31804164 is about 316.8312383108.

Adding to 31804164 its reverse (46140813), we get a palindrome (77944977).

The spelling of 31804164 in words is "thirty-one million, eight hundred four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 81 84 108 111 126 148 162 189 222 252 259 324 333 378 379 444 518 567 666 756 758 777 999 1036 1134 1137 1332 1516 1554 1998 2268 2274 2331 2653 2997 3108 3411 3996 4548 4662 5306 5994 6822 6993 7959 9324 10233 10612 11988 13644 13986 14023 15918 20466 20979 23877 27972 28046 30699 31836 40932 41958 42069 47754 56092 61398 71631 83916 84138 95508 98161 122796 126207 143262 168276 196322 214893 252414 286524 294483 378621 392644 429786 504828 588966 757242 859572 883449 1135863 1177932 1514484 1766898 2271726 2650347 3533796 4543452 5300694 7951041 10601388 15902082 31804164