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3458000378328 = 2331923329710181
BaseRepresentation
bin110010010100100000111…
…000100101100111011000
3110020120200222210010221020
4302110200320211213120
5423123441044101303
611204330005042440
7504555321145026
oct62244070454730
913216628703836
103458000378328
111113591077841
1247a2253b6420
131c111b554322
14bd522151716
155ee3d054a53
hex32520e259d8

3458000378328 has 64 divisors (see below), whose sum is σ = 9495653241600. Its totient is φ = 1044521850240.

The previous prime is 3458000378323. The next prime is 3458000378333. The reversal of 3458000378328 is 8238730008543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3458000378323) and next prime (3458000378333).

It is a super-2 number, since 2×34580003783282 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3458000378323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164844603 + ... + 164865578.

It is an arithmetic number, because the mean of its divisors is an integer number (148369581900).

Almost surely, 23458000378328 is an apocalyptic number.

3458000378328 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3458000378328 is an abundant number, since it is smaller than the sum of its proper divisors (6037652863272).

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

3458000378328 is a wasteful number, since it uses less digits than its factorization.

3458000378328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329710232 (or 329710228 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 3458000378328 in words is "three trillion, four hundred fifty-eight billion, three hundred seventy-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1311 1748 2622 3496 5244 10488 329710181 659420362 989130543 1318840724 1978261086 2637681448 3956522172 6264493439 7583334163 7913044344 12528986878 15166668326 18793480317 22750002489 25057973756 30333336652 37586960634 45500004978 50115947512 60666673304 75173921268 91000009956 144083349097 150347842536 182000019912 288166698194 432250047291 576333396388 864500094582 1152666792776 1729000189164 3458000378328