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3420053328 = 243617571543
BaseRepresentation
bin1100101111011001…
…1101111101010000
322211100102201011210
43023312131331100
524001013201303
61323211340120
7150515654646
oct31366357520
98740381153
103420053328
1114a559275a
127b5451640
134267275c3
1424630b196
151503b9203
hexcbd9df50

3420053328 has 80 divisors (see below), whose sum is σ = 8997666176. Its totient is φ = 1119121920.

The previous prime is 3420053323. The next prime is 3420053347. The reversal of 3420053328 is 8233500243.

It is a junction number, because it is equal to n+sod(n) for n = 3420053295 and 3420053304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420053323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2215725 + ... + 2217267.

Almost surely, 23420053328 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 3420053328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498833088).

3420053328 is an abundant number, since it is smaller than the sum of its proper divisors (5577612848).

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

3420053328 is a wasteful number, since it uses less digits than its factorization.

3420053328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3420053328 is about 58481.2220118561. Note that the first 3 decimals coincide. The cubic root of 3420053328 is about 1506.6450855325.

The spelling of 3420053328 in words is "three billion, four hundred twenty million, fifty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 757 976 1464 1514 1543 2271 2928 3028 3086 4542 4629 6056 6172 9084 9258 12112 12344 18168 18516 24688 36336 37032 46177 74064 92354 94123 138531 184708 188246 277062 282369 369416 376492 554124 564738 738832 752984 1108248 1129476 1168051 1505968 2216496 2258952 2336102 3504153 4517904 4672204 7008306 9344408 14016612 18688816 28033224 56066448 71251111 142502222 213753333 285004444 427506666 570008888 855013332 1140017776 1710026664 3420053328