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5343026328 = 2334193113999
BaseRepresentation
bin1001111100111100…
…00001110010011000
3111210100211212020000
410332132001302120
541420303320303
62242103333000
7246255655143
oct47636016230
914710755200
105343026328
1122a1aa9842
121051451160
13671c42853
1438987505a
15214113da3
hex13e781c98

5343026328 has 160 divisors (see below), whose sum is σ = 16262400000. Its totient is φ = 1632726720.

The previous prime is 5343026327. The next prime is 5343026333. The reversal of 5343026328 is 8236203435.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5343026292 and 5343026301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5343026327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 374673 + ... + 388671.

It is an arithmetic number, because the mean of its divisors is an integer number (101640000).

Almost surely, 25343026328 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 5343026328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8131200000).

5343026328 is an abundant number, since it is smaller than the sum of its proper divisors (10919373672).

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

5343026328 is a wasteful number, since it uses less digits than its factorization.

5343026328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14067 (or 14054 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5343026328 is about 73096.0076064350. The cubic root of 5343026328 is about 1748.2187402447.

The spelling of 5343026328 in words is "five billion, three hundred forty-three million, twenty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 81 93 108 114 124 152 162 171 186 216 228 248 279 324 342 372 456 513 558 589 648 684 744 837 1026 1116 1178 1368 1539 1674 1767 2052 2232 2356 2511 3078 3348 3534 4104 4712 5022 5301 6156 6696 7068 10044 10602 12312 13999 14136 15903 20088 21204 27998 31806 41997 42408 47709 55996 63612 83994 95418 111992 125991 127224 167988 190836 251982 265981 335976 377973 381672 433969 503964 531962 755946 797943 867938 1007928 1063924 1133919 1301907 1511892 1595886 1735876 2127848 2267838 2393829 2603814 3023784 3191772 3471752 3905721 4535676 4787658 5207628 6383544 7181487 7811442 8245411 9071352 9575316 10415256 11717163 14362974 15622884 16490822 19150632 21544461 23434326 24736233 28725948 31245768 32981644 35151489 43088922 46868652 49472466 57451896 65963288 70302978 74208699 86177844 93737304 98944932 140605956 148417398 172355688 197889864 222626097 281211912 296834796 445252194 593669592 667878291 890504388 1335756582 1781008776 2671513164 5343026328