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344330704432 = 241113538334211
BaseRepresentation
bin1010000001010111011…
…01011001011000110000
31012220202222222010220001
411000223231121120300
521120142130020212
6422103333555344
733606556460521
oct5005355313060
91186688863801
10344330704432
11123036784710
12568977a5b54
1326616191170
141294694a848
158e54492657
hex502bb59630

344330704432 has 160 divisors (see below), whose sum is σ = 808206771456. Its totient is φ = 140036582400.

The previous prime is 344330704429. The next prime is 344330704433. The reversal of 344330704432 is 234407033443.

It is a junction number, because it is equal to n+sod(n) for n = 344330704391 and 344330704400.

It is not an unprimeable number, because it can be changed into a prime (344330704433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10047807 + ... + 10082017.

Almost surely, 2344330704432 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 344330704432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404103385728).

344330704432 is an abundant number, since it is smaller than the sum of its proper divisors (463876067024).

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

344330704432 is a wasteful number, since it uses less digits than its factorization.

344330704432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34379 (or 34373 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 37.

Adding to 344330704432 its reverse (234407033443), we get a palindrome (578737737875).

The spelling of 344330704432 in words is "three hundred forty-four billion, three hundred thirty million, seven hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 53 83 88 104 106 143 166 176 208 212 286 332 424 572 583 664 689 848 913 1079 1144 1166 1328 1378 1826 2158 2288 2332 2756 3652 4316 4399 4664 5512 7304 7579 8632 8798 9328 11024 11869 14608 15158 17264 17596 23738 30316 34211 35192 47476 48389 57187 60632 68422 70384 94952 96778 114374 121264 136844 189904 193556 228748 273688 376321 387112 444743 457496 547376 629057 752642 774224 889486 914992 1258114 1505284 1778972 1813183 2516228 2839513 3010568 3557944 3626366 4892173 5032456 5679026 6021136 7115888 7252732 9784346 10064912 11358052 14505464 19568692 19945013 22716104 23571379 29010928 31234643 36913669 39137384 39890026 45432208 47142758 62469286 73827338 78274768 79780052 94285516 124938572 147654676 150494189 159560104 188571032 249877144 259285169 295309352 300988378 319120208 377142064 406050359 499754288 518570338 590618704 601976756 812100718 1037140676 1203953512 1624201436 1655436079 1956424457 2074281352 2407907024 3248402872 3310872158 3912848914 4148562704 6496805744 6621744316 7825697828 13243488632 15651395656 21520669027 26486977264 31302791312 43041338054 86082676108 172165352216 344330704432