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3328090416 = 24347366853
BaseRepresentation
bin1100011001011110…
…1010000100110000
322120221101111210000
43012113222010300
523303442343131
61310124310000
7145321205340
oct30627520460
98527344700
103328090416
111458690652
1278a6a2300
13410669091
1423800cd20
151472a0ce6
hexc65ea130

3328090416 has 100 divisors (see below), whose sum is σ = 11008554832. Its totient is φ = 950880384.

The previous prime is 3328090411. The next prime is 3328090429. The reversal of 3328090416 is 6140908233.

It is a super-3 number, since 3×33280904163 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3328090411) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 174355 + ... + 192498.

Almost surely, 23328090416 is an apocalyptic number.

3328090416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3328090416 is an abundant number, since it is smaller than the sum of its proper divisors (7680464416).

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

3328090416 is a wasteful number, since it uses less digits than its factorization.

3328090416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366880 (or 366865 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3328090416 is about 57689.6040548035. The cubic root of 3328090416 is about 1493.0179833869.

Adding to 3328090416 its reverse (6140908233), we get a palindrome (9468998649).

The spelling of 3328090416 in words is "three billion, three hundred twenty-eight million, ninety thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 366853 733706 1100559 1467412 2201118 2567971 2934824 3301677 4402236 5135942 5869648 6603354 7703913 8804472 9905031 10271884 13206708 15407826 17608944 19810062 20543768 23111739 26413416 29715093 30815652 39620124 41087536 46223478 52826832 59430186 61631304 69335217 79240248 92446956 118860372 123262608 138670434 158480496 184893912 208005651 237720744 277340868 369787824 416011302 475441488 554681736 832022604 1109363472 1664045208 3328090416