Search a number
-
+
353124135 = 325721397127
BaseRepresentation
bin10101000011000…
…011111100100111
3220121110120020200
4111003003330213
51210344433020
655012401543
711515335300
oct2503037447
9817416220
10353124135
11171369431
129a3162b3
135820b1c0
1434c817a7
1521004590
hex150c3f27

353124135 has 144 divisors (see below), whose sum is σ = 780788736. Its totient is φ = 146313216.

The previous prime is 353124091. The next prime is 353124197. The reversal of 353124135 is 531421353.

It is not a de Polignac number, because 353124135 - 218 = 352861991 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 353124099 and 353124108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2780442 + ... + 2780568.

It is an arithmetic number, because the mean of its divisors is an integer number (5422144).

Almost surely, 2353124135 is an apocalyptic number.

353124135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

353124135 is an abundant number, since it is smaller than the sum of its proper divisors (427664601).

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

353124135 is a wasteful number, since it uses less digits than its factorization.

353124135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 252 counting only the distinct ones).

The product of its digits is 5400, while the sum is 27.

The square root of 353124135 is about 18791.5974573744. The cubic root of 353124135 is about 706.8204948980.

Adding to 353124135 its reverse (531421353), we get a palindrome (884545488).

The spelling of 353124135 in words is "three hundred fifty-three million, one hundred twenty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 97 105 117 127 147 195 245 273 291 315 381 441 455 485 585 635 637 679 735 819 873 889 1143 1261 1365 1455 1651 1905 1911 2037 2205 2667 3185 3395 3783 4095 4365 4445 4753 4953 5715 5733 6111 6223 6305 8001 8255 8827 9555 10185 11349 11557 12319 13335 14259 14859 18669 18915 23765 24765 26481 28665 30555 31115 34671 36957 40005 42777 44135 56007 56745 57785 61595 61789 71295 74295 79443 80899 86233 93345 104013 110871 132405 160147 173355 184785 185367 213885 242697 258699 280035 308945 397215 404495 431165 480441 520065 554355 556101 603631 728091 776097 800735 926835 1121029 1213485 1293495 1441323 1810893 2402205 2780505 3018155 3363087 3640455 3880485 5432679 5605145 7206615 7847203 9054465 10089261 16815435 23541609 27163395 39236015 50446305 70624827 117708045 353124135