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10304032344 = 2335973831201
BaseRepresentation
bin10011001100010101…
…10000111001011000
3222121002212002002120
421212022300321120
5132100313013334
64422243101240
7513225554424
oct114612607130
928532762076
1010304032344
1144083a3011
121bb6971820
13c8299a778
146da6a5b84
15404916949
hex2662b0e58

10304032344 has 128 divisors (see below), whose sum is σ = 26897875200. Its totient is φ = 3287347200.

The previous prime is 10304032339. The next prime is 10304032381. The reversal of 10304032344 is 44323040301.

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

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, 8578944 + ... + 8580144.

It is an arithmetic number, because the mean of its divisors is an integer number (210139650).

Almost surely, 210304032344 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 10304032344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13448937600).

10304032344 is an abundant number, since it is smaller than the sum of its proper divisors (16593842856).

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

10304032344 is a wasteful number, since it uses less digits than its factorization.

10304032344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10304032344 its reverse (44323040301), we get a palindrome (54627072645).

The spelling of 10304032344 in words is "ten billion, three hundred four million, thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 59 73 83 118 146 166 177 219 236 249 292 332 354 438 472 498 584 664 708 876 996 1201 1416 1752 1992 2402 3603 4307 4804 4897 6059 7206 8614 9608 9794 12118 12921 14412 14691 17228 18177 19588 24236 25842 28824 29382 34456 36354 39176 48472 51684 58764 70859 72708 87673 99683 103368 117528 141718 145416 175346 199366 212577 263019 283436 299049 350692 357481 398732 425154 526038 566872 598098 701384 714962 797464 850308 1052076 1072443 1196196 1429924 1700616 2104152 2144886 2392392 2859848 4289772 5172707 5881297 7276859 8579544 10345414 11762594 14553718 15518121 17643891 20690828 21830577 23525188 29107436 31036242 35287782 41381656 43661154 47050376 58214872 62072484 70575564 87322308 124144968 141151128 174644616 429334681 858669362 1288004043 1717338724 2576008086 3434677448 5152016172 10304032344