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339730442496 = 2832121432
BaseRepresentation
bin1001111000110011000…
…00110010100100000000
31012110220101202121212100
410330121200302210000
521031231443124441
6420023042230400
733354560054244
oct4743140624400
91173811677770
10339730442496
11121095a83845
1255a13055400
13260620b1893
141262b9c2424
158c8569bcb6
hex4f19832900

339730442496 has 81 divisors (see below), whose sum is σ = 979607291299. Its totient is φ = 113234155008.

The previous prime is 339730442479. The next prime is 339730442501. The reversal of 339730442496 is 694244037933.

It is a happy number.

The square root of 339730442496 is 582864.

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

339730442496 is a `hidden beast` number, since 3 + 3 + 97 + 304 + 4 + 249 + 6 = 666.

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, 27971401 + ... + 27983543.

Almost surely, 2339730442496 is an apocalyptic number.

339730442496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

339730442496 is the 582864-th square number.

It is an amenable number.

339730442496 is an abundant number, since it is smaller than the sum of its proper divisors (639876848803).

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

339730442496 is an frugal number, since it uses more digits than its factorization.

339730442496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24308 (or 12148 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 54.

The spelling of 339730442496 in words is "three hundred thirty-nine billion, seven hundred thirty million, four hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 12143 24286 36429 48572 72858 97144 109287 145716 194288 218574 291432 388576 437148 582864 777152 874296 1165728 1554304 1748592 2331456 3108608 3497184 4662912 6994368 9325824 13988736 27977472 147452449 294904898 442357347 589809796 884714694 1179619592 1327072041 1769429388 2359239184 2654144082 3538858776 4718478368 5308288164 7077717552 9436956736 10616576328 14155435104 18873913472 21233152656 28310870208 37747826944 42466305312 56621740416 84932610624 113243480832 169865221248 339730442496