Search a number
-
+
353531424 = 253107127271
BaseRepresentation
bin10101000100100…
…111011000100000
3220122020020221110
4111010213120200
51211001001144
655025223320
711521652601
oct2504473040
9818206843
10353531424
11171617434
129a491b40
13583216bc
1434d49da8
15210850b9
hex15127620

353531424 has 96 divisors (see below), whose sum is σ = 947552256. Its totient is φ = 115395840.

The previous prime is 353531419. The next prime is 353531441. The reversal of 353531424 is 424135353.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 353531391 and 353531400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1304409 + ... + 1304679.

It is an arithmetic number, because the mean of its divisors is an integer number (9870336).

Almost surely, 2353531424 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 353531424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473776128).

353531424 is an abundant number, since it is smaller than the sum of its proper divisors (594020832).

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

353531424 is a wasteful number, since it uses less digits than its factorization.

353531424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 510 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 353531424 is about 18802.4313321443. The cubic root of 353531424 is about 707.0921364877.

Adding to 353531424 its reverse (424135353), we get a palindrome (777666777).

The spelling of 353531424 in words is "three hundred fifty-three million, five hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 127 214 254 271 321 381 428 508 542 642 762 813 856 1016 1084 1284 1524 1626 1712 2032 2168 2568 3048 3252 3424 4064 4336 5136 6096 6504 8672 10272 12192 13008 13589 26016 27178 28997 34417 40767 54356 57994 68834 81534 86991 103251 108712 115988 137668 163068 173982 206502 217424 231976 275336 326136 347964 413004 434848 463952 550672 652272 695928 826008 927904 1101344 1304544 1391856 1652016 2783712 3304032 3682619 7365238 11047857 14730476 22095714 29460952 44191428 58921904 88382856 117843808 176765712 353531424