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340332442032 = 2431131151137699
BaseRepresentation
bin1001111001111010110…
…01001111000110110000
31012112110100112100222110
410330331121033012300
521034000101121112
6420202505205320
733405520012032
oct4747531170660
91175410470873
10340332442032
11121374877a20
1255b60790840
1326129a2a61b
1412687929c52
158cbd46213c
hex4f3d64f1b0

340332442032 has 160 divisors (see below), whose sum is σ = 996621926400. Its totient is φ = 99142560000.

The previous prime is 340332441997. The next prime is 340332442049. The reversal of 340332442032 is 230244233043.

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, 2402719 + ... + 2540417.

It is an arithmetic number, because the mean of its divisors is an integer number (6228887040).

Almost surely, 2340332442032 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 340332442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498310963200).

340332442032 is an abundant number, since it is smaller than the sum of its proper divisors (656289484368).

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

340332442032 is a wasteful number, since it uses less digits than its factorization.

340332442032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137903 (or 137897 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 30.

Adding to 340332442032 its reverse (230244233043), we get a palindrome (570576675075).

The spelling of 340332442032 in words is "three hundred forty billion, three hundred thirty-two million, four hundred forty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 151 176 186 248 264 302 341 372 453 496 528 604 682 744 906 1023 1208 1364 1488 1661 1812 2046 2416 2728 3322 3624 4092 4681 4983 5456 6644 7248 8184 9362 9966 13288 14043 16368 18724 19932 26576 28086 37448 39864 51491 56172 74896 79728 102982 112344 137699 154473 205964 224688 275398 308946 411928 413097 550796 617892 823856 826194 1101592 1235784 1514689 1652388 2203184 2471568 3029378 3304776 4268669 4544067 6058756 6609552 8537338 9088134 12117512 12806007 17074676 18176268 20792549 24235024 25612014 34149352 36352536 41585098 46955359 51224028 62377647 68298704 72705072 83170196 93910718 102448056 124755294 140866077 166340392 187821436 204896112 228718039 249510588 281732154 332680784 375642872 457436078 499021176 563464308 644569019 686154117 751285744 914872156 998042352 1126928616 1289138038 1372308234 1829744312 1933707057 2253857232 2578276076 2744616468 3659488624 3867414114 5156552152 5489232936 7090259209 7734828228 10313104304 10978465872 14180518418 15469656456 21270777627 28361036836 30939312912 42541555254 56722073672 85083110508 113444147344 170166221016 340332442032