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3404252540 = 2251323253467
BaseRepresentation
bin1100101011101000…
…1100010101111100
322210020200221120102
43022322030111330
523432442040130
61321444540232
7150234445343
oct31272142574
98706627512
103404252540
111497680357
127b00b1678
13423384620
14244196b5a
1514dce7645
hexcae8c57c

3404252540 has 144 divisors (see below), whose sum is σ = 8217544608. Its totient is φ = 1177093632.

The previous prime is 3404252531. The next prime is 3404252557. The reversal of 3404252540 is 452524043.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7289387 + ... + 7289853.

It is an arithmetic number, because the mean of its divisors is an integer number (57066282).

Almost surely, 23404252540 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 3404252540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108772304).

3404252540 is an abundant number, since it is smaller than the sum of its proper divisors (4813292068).

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

3404252540 is a wasteful number, since it uses less digits than its factorization.

3404252540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 3404252540 is about 58345.9727830465. The cubic root of 3404252540 is about 1504.3212488807.

Adding to 3404252540 its reverse (452524043), we get a palindrome (3856776583).

The spelling of 3404252540 in words is "three billion, four hundred four million, two hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 53 65 92 106 115 130 212 230 260 265 299 460 467 529 530 598 689 934 1058 1060 1196 1219 1378 1495 1868 2116 2335 2438 2645 2756 2990 3445 4670 4876 5290 5980 6071 6095 6877 6890 9340 10580 10741 12142 12190 13754 13780 15847 21482 24284 24380 24751 27508 28037 30355 31694 34385 42964 49502 53705 56074 60710 63388 68770 79235 99004 107410 112148 121420 123755 137540 139633 140185 158470 214820 247043 247510 279266 280370 316940 321763 364481 494086 495020 558532 560740 569273 643526 698165 728962 988172 1138546 1235215 1287052 1396330 1457924 1608815 1822405 2277092 2470430 2792660 2846365 3211559 3217630 3644810 4940860 5692730 6423118 6435260 7289620 7400549 11385460 12846236 13093279 14801098 16057795 26186558 29602196 32115590 37002745 52373116 64231180 65466395 74005490 130932790 148010980 170212627 261865580 340425254 680850508 851063135 1702126270 3404252540