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424300734 = 2331113232389
BaseRepresentation
bin11001010010100…
…101000010111110
31002120101201012000
4121102211002332
51332110110414
6110034123130
713341332244
oct3122450276
91076351160
10424300734
111a8563470
12ba1204a6
1369b9c430
14404cc794
15273b3b09
hex194a50be

424300734 has 128 divisors (see below), whose sum is σ = 1156377600. Its totient is φ = 113477760.

The previous prime is 424300729. The next prime is 424300781. The reversal of 424300734 is 437003424.

It is a super-2 number, since 2×4243007342 = 360062225745877512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 424300698 and 424300707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176412 + ... + 178800.

It is an arithmetic number, because the mean of its divisors is an integer number (9034200).

Almost surely, 2424300734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424300734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578188800).

424300734 is an abundant number, since it is smaller than the sum of its proper divisors (732076866).

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

424300734 is a wasteful number, since it uses less digits than its factorization.

424300734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 424300734 is about 20598.5614546259. The cubic root of 424300734 is about 751.4347256663.

The spelling of 424300734 in words is "four hundred twenty-four million, three hundred thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 23 26 27 33 39 46 54 66 69 78 99 117 138 143 198 207 234 253 286 297 299 351 414 429 506 594 598 621 702 759 858 897 1242 1287 1518 1794 2277 2389 2574 2691 3289 3861 4554 4778 5382 6578 6831 7167 7722 8073 9867 13662 14334 16146 19734 21501 26279 29601 31057 43002 52558 54947 59202 62114 64503 78837 88803 93171 109894 129006 157674 164841 177606 186342 236511 279513 329682 341627 473022 494523 559026 604417 683254 709533 714311 838539 989046 1024881 1208834 1419066 1428622 1483569 1677078 1813251 2049762 2142933 2967138 3074643 3626502 4285866 5439753 6149286 6428799 7857421 9223929 10879506 12857598 15714842 16319259 18447858 19286397 23572263 32638518 38572794 47144526 70716789 141433578 212150367 424300734