Search a number
-
+
340003333032 = 2331123921792473
BaseRepresentation
bin1001111001010011100…
…01110010001110101000
31012111121102020220022020
410330221301302032220
521032311323124112
6420110111224440
733364412434416
oct4745161621650
91174542226266
10340003333032
11121216021510
1255a8a518120
13260a67aa27c
1412655d3a2b6
158c9e60348c
hex4f29c723a8

340003333032 has 128 divisors (see below), whose sum is σ = 931965696000. Its totient is φ = 102511664640.

The previous prime is 340003333009. The next prime is 340003333079. The reversal of 340003333032 is 230333300043.

Adding to 340003333032 its reverse (230333300043), we get a palindrome (570336633075).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 340003332993 and 340003333011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137484948 + ... + 137487420.

It is an arithmetic number, because the mean of its divisors is an integer number (7280982000).

Almost surely, 2340003333032 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 340003333032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465982848000).

340003333032 is an abundant number, since it is smaller than the sum of its proper divisors (591962362968).

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

340003333032 is a wasteful number, since it uses less digits than its factorization.

340003333032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911 (or 4907 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 24.

The spelling of 340003333032 in words is "three hundred forty billion, three million, three hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 239 264 478 717 956 1434 1912 2179 2473 2629 2868 4358 4946 5258 5736 6537 7419 7887 8716 9892 10516 13074 14838 15774 17432 19784 21032 23969 26148 27203 29676 31548 47938 52296 54406 59352 63096 71907 81609 95876 108812 143814 163218 191752 217624 287628 326436 520781 575256 591047 652872 1041562 1182094 1562343 1773141 2083124 2364188 3124686 3546282 4166248 4728376 5388667 5728591 6249372 6501517 7092564 10777334 11457182 12498744 13003034 14185128 16166001 17185773 19504551 21554668 22914364 26006068 32332002 34371546 39009102 43109336 45828728 52012136 59275337 64664004 68743092 78018204 118550674 129328008 137486184 156036408 177826011 237101348 355652022 474202696 711304044 1287891413 1422608088 2575782826 3863674239 5151565652 7727348478 10303131304 14166805543 15454696956 28333611086 30909393912 42500416629 56667222172 85000833258 113334444344 170001666516 340003333032