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3213099348 = 22317195315641
BaseRepresentation
bin1011111110000100…
…0000000101010100
322021221000100200120
42333201000011110
523040023134343
61250455511540
7142423615404
oct27741000524
98257010616
103213099348
1113a9790108
127580885b0
133c28a7024
14226a38804
1513c139683
hexbf840154

3213099348 has 96 divisors (see below), whose sum is σ = 8514253440. Its totient is φ = 936898560.

The previous prime is 3213099347. The next prime is 3213099359. The reversal of 3213099348 is 8439903123.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3213099347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197608 + ... + 213248.

It is an arithmetic number, because the mean of its divisors is an integer number (88690140).

Almost surely, 23213099348 is an apocalyptic number.

3213099348 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213099348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4257126720).

3213099348 is an abundant number, since it is smaller than the sum of its proper divisors (5301154092).

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

3213099348 is a wasteful number, since it uses less digits than its factorization.

3213099348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15737 (or 15735 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 3213099348 is about 56684.2072185896. The cubic root of 3213099348 is about 1475.6206290664.

The spelling of 3213099348 in words is "three billion, two hundred thirteen million, ninety-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 53 57 68 76 102 106 114 159 204 212 228 318 323 636 646 901 969 1007 1292 1802 1938 2014 2703 3021 3604 3876 4028 5406 6042 10812 12084 15641 17119 31282 34238 46923 51357 62564 68476 93846 102714 187692 205428 265897 297179 531794 594358 797691 828973 891537 1063588 1188716 1595382 1657946 1783074 2486919 3190764 3315892 3566148 4973838 5052043 9947676 10104086 14092541 15156129 15750487 20208172 28185082 30312258 31500974 42277623 47251461 56370164 60624516 63001948 84555246 94502922 169110492 189005844 267758279 535516558 803274837 1071033116 1606549674 3213099348