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34403240432 = 24115315492381
BaseRepresentation
bin100000000010100101…
…111100100111110000
310021210121202200201002
4200002211330213300
51030424212143212
623445444501132
72325354501341
oct400245744760
9107717680632
1034403240432
1113654806810
1268016aa7a8
1333236c1002
1419451680c8
15d654a2ac2
hex80297c9f0

34403240432 has 80 divisors (see below), whose sum is σ = 74166904800. Its totient is φ = 15326438400.

The previous prime is 34403240423. The next prime is 34403240477. The reversal of 34403240432 is 23404230443.

It is a junction number, because it is equal to n+sod(n) for n = 34403240395 and 34403240404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14447882 + ... + 14450262.

It is an arithmetic number, because the mean of its divisors is an integer number (927086310).

Almost surely, 234403240432 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 34403240432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37083452400).

34403240432 is an abundant number, since it is smaller than the sum of its proper divisors (39763664368).

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

34403240432 is a wasteful number, since it uses less digits than its factorization.

34403240432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4002 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 34403240432 its reverse (23404230443), we get a palindrome (57807470875).

The spelling of 34403240432 in words is "thirty-four billion, four hundred three million, two hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 176 212 424 583 848 1166 1549 2332 2381 3098 4664 4762 6196 9328 9524 12392 17039 19048 24784 26191 34078 38096 52382 68156 82097 104764 126193 136312 164194 209528 252386 272624 328388 419056 504772 656776 903067 1009544 1313552 1388123 1806134 2019088 2776246 3612268 3688169 5552492 7224536 7376338 11104984 14449072 14752676 22209968 29505352 40569859 59010704 81139718 162279436 195472957 324558872 390945914 649117744 781891828 1563783656 2150202527 3127567312 4300405054 8600810108 17201620216 34403240432