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3201514134 = 2371347731709
BaseRepresentation
bin1011111011010011…
…0011101010010110
322021010012202202120
42332310303222112
523024041423014
61245403320410
7142223264310
oct27664635226
98233182676
103201514134
1113a3197a55
12754220106
133c037ba80
142252a07b0
1513b0ebba9
hexbed33a96

3201514134 has 128 divisors (see below), whose sum is σ = 8163348480. Its totient is φ = 814593024.

The previous prime is 3201514123. The next prime is 3201514139. The reversal of 3201514134 is 4314151023.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201514139) 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 63 ways as a sum of consecutive naturals, for example, 1872472 + ... + 1874180.

It is an arithmetic number, because the mean of its divisors is an integer number (63776160).

Almost surely, 23201514134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201514134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081674240).

3201514134 is an abundant number, since it is smaller than the sum of its proper divisors (4961834346).

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

3201514134 is a wasteful number, since it uses less digits than its factorization.

3201514134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1854.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 3201514134 is about 56581.9240924167. The cubic root of 3201514134 is about 1473.8449843639.

Adding to 3201514134 its reverse (4314151023), we get a palindrome (7515665157).

The spelling of 3201514134 in words is "three billion, two hundred one million, five hundred fourteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 47 73 78 91 94 141 146 182 219 273 282 329 438 511 546 611 658 949 987 1022 1222 1533 1709 1833 1898 1974 2847 3066 3418 3431 3666 4277 5127 5694 6643 6862 8554 10254 10293 11963 12831 13286 19929 20586 22217 23926 24017 25662 35889 39858 44434 44603 48034 66651 71778 72051 80323 89206 124757 133302 133809 144102 155519 160646 240969 249514 267618 311038 312221 374271 466557 481938 562261 624442 748542 873299 933114 936663 1044199 1124522 1621841 1686783 1746598 1873326 2088398 2619897 3132597 3243682 3373566 4865523 5239794 5863579 6265194 7309393 9731046 11352887 11727158 14618786 17590737 21928179 22705774 34058661 35181474 41045053 43856358 68117322 76226527 82090106 123135159 152453054 228679581 246270318 457359162 533585689 1067171378 1600757067 3201514134