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338730984036 = 2232970012
BaseRepresentation
bin1001110110111011111…
…00001010001001100100
31012101022202002212121100
410323131330022021210
521022210112442121
6415335540320100
733321032600214
oct4733574121144
91171282085540
10338730984036
1112072289a915
12557943a3030
1325c33004043
1412574d76244
158c27a76026
hex4eddf0a264

338730984036 has 27 divisors (see below), whose sum is σ = 856245481273. Its totient is φ = 112909164000.

The previous prime is 338730984023. The next prime is 338730984049. The reversal of 338730984036 is 630489037833.

The square root of 338730984036 is 582006.

It is a perfect power (a square), and thus also a powerful number.

338730984036 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (338730984023) and next prime (338730984049).

It can be written as a sum of positive squares in only one way, i.e., 255233102436 + 83497881600 = 505206^2 + 288960^2 .

It is a super-2 number, since 2×3387309840362 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3443536 + ... + 3540536.

Almost surely, 2338730984036 is an apocalyptic number.

338730984036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

338730984036 is the 582006-th square number.

It is an amenable number.

338730984036 is an abundant number, since it is smaller than the sum of its proper divisors (517514497237).

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

338730984036 is an frugal number, since it uses more digits than its factorization.

338730984036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194012 (or 97006 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 338730984036 in words is "three hundred thirty-eight billion, seven hundred thirty million, nine hundred eighty-four thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 97001 194002 291003 388004 582006 873009 1164012 1746018 3492036 9409194001 18818388002 28227582003 37636776004 56455164006 84682746009 112910328012 169365492018 338730984036