Search a number
-
+
3420032148 = 22321319384619
BaseRepresentation
bin1100101111011001…
…1000110010010100
322211100101122010100
43023312120302110
524001012012043
61323211054100
7150515536131
oct31366306224
98740348110
103420032148
1114a5578855
127b5441330
1342671aa80
14246303588
151503b2cd3
hexcbd98c94

3420032148 has 72 divisors (see below), whose sum is σ = 9800117600. Its totient is φ = 996929856.

The previous prime is 3420032101. The next prime is 3420032159. The reversal of 3420032148 is 8412300243.

3420032148 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183418 + ... + 201201.

Almost surely, 23420032148 is an apocalyptic number.

3420032148 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3420032148 is an abundant number, since it is smaller than the sum of its proper divisors (6380085452).

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

3420032148 is a wasteful number, since it uses less digits than its factorization.

3420032148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384661 (or 384656 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3420032148 is about 58481.0409278084. The cubic root of 3420032148 is about 1506.6419753657.

The spelling of 3420032148 in words is "three billion, four hundred twenty million, thirty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8892 384619 769238 1153857 1538476 2307714 3461571 4615428 5000047 6923142 7307761 10000094 13846284 14615522 15000141 20000188 21923283 29231044 30000282 43846566 45000423 60000564 65769849 87693132 90000846 95000893 131539698 180001692 190001786 263079396 285002679 380003572 570005358 855008037 1140010716 1710016074 3420032148