Search a number
-
+
312032234332 = 2271323331112601
BaseRepresentation
bin1001000101001101001…
…00100000101101011100
31002211102001200212021201
410202212210200231130
520103020222444312
6355202353405244
731354310141620
oct4424644405534
91084361625251
10312032234332
11110372075015
1250582b69824
132356986b3b0
1411161151180
1581b3b9a557
hex48a6920b5c

312032234332 has 96 divisors (see below), whose sum is σ = 703414785024. Its totient is φ = 117716544000.

The previous prime is 312032234317. The next prime is 312032234359. The reversal of 312032234332 is 233432230213.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 312032234332.

It is a congruent number.

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, 2714832 + ... + 2827432.

It is an arithmetic number, because the mean of its divisors is an integer number (7327237344).

Almost surely, 2312032234332 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 312032234332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351707392512).

312032234332 is an abundant number, since it is smaller than the sum of its proper divisors (391382550692).

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

312032234332 is a wasteful number, since it uses less digits than its factorization.

312032234332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112979 (or 112977 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 312032234332 its reverse (233432230213), we get a palindrome (545464464545).

The spelling of 312032234332 in words is "three hundred twelve billion, thirty-two million, two hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 331 364 598 644 662 1196 1324 2093 2317 4186 4303 4634 7613 8372 8606 9268 15226 17212 30121 30452 53291 60242 98969 106582 112601 120484 197938 213164 225202 395876 450404 692783 788207 1385566 1463813 1576414 2589823 2771132 2927626 3152828 5179646 5855252 10246691 10359292 18128761 20493382 33667699 36257522 37270931 40986764 67335398 72515044 74541862 134670796 149083724 235673893 260896517 471347786 484522103 521793034 857231413 942695572 969044206 1043586068 1714462826 1938088412 3391654721 3428925652 6000619891 6783309442 11144008369 12001239782 13566618884 22288016738 24002479564 44576033476 78008058583 156016117166 312032234332