Search a number
-
+
34232260436 = 22113759593601
BaseRepresentation
bin11111111000011001…
…101101011101010100
310021100201001000020122
4133320121231131110
51030101424313221
623420500051112
72321210261363
oct377031553524
9107321030218
1034232260436
1113577244a30
126774393a98
1332c715790a
14192a57b7da
15d5547beab
hex7f866d754

34232260436 has 96 divisors (see below), whose sum is σ = 68485253760. Its totient is φ = 14833152000.

The previous prime is 34232260379. The next prime is 34232260441. The reversal of 34232260436 is 63406223243.

It is a junction number, because it is equal to n+sod(n) for n = 34232260396 and 34232260405.

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, 56958536 + ... + 56959136.

It is an arithmetic number, because the mean of its divisors is an integer number (713388060).

Almost surely, 234232260436 is an apocalyptic number.

It is an amenable number.

34232260436 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

34232260436 is a wasteful number, since it uses less digits than its factorization.

34232260436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 34232260436 its reverse (63406223243), we get a palindrome (97638483679).

The spelling of 34232260436 in words is "thirty-four billion, two hundred thirty-two million, two hundred sixty thousand, four hundred thirty-six".

Divisors: 1 2 4 11 22 37 44 59 74 118 148 236 407 593 601 649 814 1186 1202 1298 1628 2183 2372 2404 2596 4366 6523 6611 8732 13046 13222 21941 22237 24013 26092 26444 34987 35459 43882 44474 48026 69974 70918 87764 88948 96052 139948 141836 241351 244607 356393 384857 390049 482702 489214 712786 769714 780098 965404 978428 1294519 1311983 1425572 1539428 1560196 2589038 2623966 3920323 5178076 5247932 7840646 13186541 14239709 14431813 15681292 21027187 26373082 28479418 28863626 42054374 52746164 56958836 57727252 84108748 145051951 231299057 290103902 462598114 580207804 778005919 925196228 1556011838 3112023676 8558065109 17116130218 34232260436