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3419330628 = 2237314132027
BaseRepresentation
bin1100101111001110…
…1101100001000100
322211022001222211010
43023303231201010
524000322040003
61323144042220
7150506554650
oct31363554104
98738058733
103419330628
1114a513978a
127b5163370
1342653367c
1424619da60
151502c5003
hexcbced844

3419330628 has 96 divisors (see below), whose sum is σ = 9642221568. Its totient is φ = 922348800.

The previous prime is 3419330623. The next prime is 3419330647. The reversal of 3419330628 is 8260339143.

3419330628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3419330623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90751 + ... + 122777.

It is an arithmetic number, because the mean of its divisors is an integer number (100439808).

Almost surely, 23419330628 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 3419330628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821110784).

3419330628 is an abundant number, since it is smaller than the sum of its proper divisors (6222890940).

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

3419330628 is a wasteful number, since it uses less digits than its factorization.

3419330628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32113 (or 32111 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 3419330628 is about 58475.0427789497. The cubic root of 3419330628 is about 1506.5389537460.

The spelling of 3419330628 in words is "three billion, four hundred nineteen million, three hundred thirty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 41 42 62 82 84 93 123 124 164 186 217 246 287 372 434 492 574 651 861 868 1148 1271 1302 1722 2542 2604 3444 3813 5084 7626 8897 15252 17794 26691 32027 35588 53382 64054 96081 106764 128108 192162 224189 384324 448378 672567 896756 992837 1313107 1345134 1985674 2626214 2690268 2978511 3939321 3971348 5252428 5957022 6949859 7878642 9191749 11914044 13899718 15757284 18383498 20849577 27575247 27799436 36766996 40706317 41699154 55150494 81412634 83398308 110300988 122118951 162825268 244237902 284944219 488475804 569888438 854832657 1139776876 1709665314 3419330628