Search a number
-
+
368401032 = 2332191971367
BaseRepresentation
bin10101111101010…
…101101010001000
3221200012201012200
4111331111222020
51223302313112
6100320040200
712062233326
oct2575255210
9850181180
10368401032
11179a5316a
12a3463060
135b42989c
1436cdad16
1522520cdc
hex15f55a88

368401032 has 96 divisors (see below), whose sum is σ = 1056369600. Its totient is φ = 115661952.

The previous prime is 368400979. The next prime is 368401049. The reversal of 368401032 is 230104863.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 368400987 and 368401005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268813 + ... + 270179.

It is an arithmetic number, because the mean of its divisors is an integer number (11003850).

Almost surely, 2368401032 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 368401032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528184800).

368401032 is an abundant number, since it is smaller than the sum of its proper divisors (687968568).

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

368401032 is a wasteful number, since it uses less digits than its factorization.

368401032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 368401032 is about 19193.7758661499. The cubic root of 368401032 is about 716.8697907257.

Adding to 368401032 its reverse (230104863), we get a palindrome (598505895).

The spelling of 368401032 in words is "three hundred sixty-eight million, four hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 197 228 342 394 456 591 684 788 1182 1367 1368 1576 1773 2364 2734 3546 3743 4101 4728 5468 7092 7486 8202 10936 11229 12303 14184 14972 16404 22458 24606 25973 29944 32808 33687 44916 49212 51946 67374 77919 89832 98424 103892 134748 155838 207784 233757 269299 269496 311676 467514 538598 623352 807897 935028 1077196 1615794 1870056 2154392 2423691 3231588 4847382 5116681 6463176 9694764 10233362 15350043 19389528 20466724 30700086 40933448 46050129 61400172 92100258 122800344 184200516 368401032