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330524145 = 34572337137
BaseRepresentation
bin10011101100110…
…110010111110001
3212000221100220000
4103230312113301
51134103233040
652444140213
711122260150
oct2354662761
9760840800
10330524145
1115a632756
1292837669
1353627523
1431c7b597
151e03d130
hex13b365f1

330524145 has 160 divisors (see below), whose sum is σ = 730971648. Its totient is φ = 139594752.

The previous prime is 330524141. The next prime is 330524147. The reversal of 330524145 is 541425033.

It is not a de Polignac number, because 330524145 - 22 = 330524141 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (330524141) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 2412517 + ... + 2412653.

Almost surely, 2330524145 is an apocalyptic number.

330524145 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

330524145 is an abundant number, since it is smaller than the sum of its proper divisors (400447503).

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

330524145 is a wasteful number, since it uses less digits than its factorization.

330524145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 330524145 is about 18180.3230169323. The cubic root of 330524145 is about 691.4079944972.

Adding to 330524145 its reverse (541425033), we get a palindrome (871949178).

The spelling of 330524145 in words is "three hundred thirty million, five hundred twenty-four thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 23 27 35 37 45 63 69 81 105 111 115 135 137 161 185 189 207 259 315 333 345 405 411 483 555 567 621 685 777 805 851 945 959 999 1035 1233 1295 1449 1665 1863 2055 2331 2415 2553 2835 2877 2997 3105 3151 3699 3885 4255 4347 4795 4995 5069 5957 6165 6993 7245 7659 8631 9315 9453 11097 11655 12765 13041 14385 14985 15207 15755 17871 18495 20979 21735 22057 22977 25345 25893 28359 29785 34965 35483 38295 43155 45621 47265 53613 55485 65205 66171 68931 76035 77679 85077 89355 104895 106449 110285 114885 116587 129465 136863 141795 160839 177415 198513 228105 255231 268065 319347 330855 344655 349761 388395 410589 425385 482517 532245 582935 595539 684315 804195 816109 958041 992565 1049283 1276155 1596735 1748805 1786617 2052945 2412585 2448327 2874123 2977695 3147849 4080545 4790205 5246415 7344981 8933085 9443547 12241635 14370615 15739245 22034943 36724905 47217735 66104829 110174715 330524145