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3420514125 = 325371034217
BaseRepresentation
bin1100101111100000…
…1110011101001101
322211101022010021100
43023320032131031
524001122423000
61323225253313
7150522614250
oct31370163515
98741263240
103420514125
1114a5877986
127b5634239
13426859272
142463cb097
1515045aa00
hexcbe0e74d

3420514125 has 96 divisors (see below), whose sum is σ = 7117014528. Its totient is φ = 1548115200.

The previous prime is 3420514117. The next prime is 3420514129. The reversal of 3420514125 is 5214150243.

3420514125 is a `hidden beast` number, since 3 + 4 + 20 + 514 + 125 = 666.

It is not a de Polignac number, because 3420514125 - 23 = 3420514117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420514129) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 809017 + ... + 813233.

It is an arithmetic number, because the mean of its divisors is an integer number (74135568).

Almost surely, 23420514125 is an apocalyptic number.

3420514125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3420514125 is an abundant number, since it is smaller than the sum of its proper divisors (3696500403).

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

3420514125 is a wasteful number, since it uses less digits than its factorization.

3420514125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4348 (or 4335 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3420514125 is about 58485.1615796691. The cubic root of 3420514125 is about 1506.7127478651.

Adding to 3420514125 its reverse (5214150243), we get a palindrome (8634664368).

The spelling of 3420514125 in words is "three billion, four hundred twenty million, five hundred fourteen thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 103 105 125 175 225 309 315 375 515 525 721 875 927 1125 1545 1575 2163 2575 2625 3605 4217 4635 6489 7725 7875 10815 12651 12875 18025 21085 23175 29519 32445 37953 38625 54075 63255 88557 90125 105425 115875 147595 162225 189765 265671 270375 316275 434351 442785 527125 737975 811125 948825 1303053 1328355 1581375 2171755 2213925 3040457 3689875 3909159 4744125 6515265 6641775 9121371 10858775 11069625 15202285 19545795 27364113 32576325 33208875 45606855 54293875 76011425 97728975 136820565 162881625 228034275 380057125 488644875 684102825 1140171375 3420514125