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341324420224 = 27171511636373
BaseRepresentation
bin1001111011110001000…
…01010101010010000000
31012122000111010002020111
410331320201111102000
521043013022421344
6420445142521104
733442223462524
oct4757041252200
91178014102214
10341324420224
11121833811907
1256198a36194
13262573b9478
141273d589d84
158d2a5ab834
hex4f78855480

341324420224 has 128 divisors (see below), whose sum is σ = 729310020480. Its totient is φ = 158555750400.

The previous prime is 341324420221. The next prime is 341324420233. The reversal of 341324420224 is 422024423143.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (341324420221) 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, 53554702 + ... + 53561074.

It is an arithmetic number, because the mean of its divisors is an integer number (5697734535).

Almost surely, 2341324420224 is an apocalyptic number.

341324420224 is a gapful number since it is divisible by the number (34) 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 341324420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364655010240).

341324420224 is an abundant number, since it is smaller than the sum of its proper divisors (387985600256).

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

341324420224 is a wasteful number, since it uses less digits than its factorization.

341324420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6718 (or 6706 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 341324420224 its reverse (422024423143), we get a palindrome (763348843367).

The spelling of 341324420224 in words is "three hundred forty-one billion, three hundred twenty-four million, four hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 151 163 272 302 326 544 604 652 1088 1208 1304 2176 2416 2567 2608 2771 4832 5134 5216 5542 6373 9664 10268 10432 11084 12746 19328 20536 20864 22168 24613 25492 41072 44336 49226 50984 82144 88672 98452 101968 108341 164288 177344 196904 203936 216682 328576 354688 393808 407872 418421 433364 787616 815744 836842 866728 962323 1038799 1575232 1673684 1733456 1924646 2077598 3150464 3347368 3466912 3849292 4155196 6694736 6933824 7698584 8310392 13389472 13867648 15397168 16359491 16620784 17659583 26778944 30794336 32718982 33241568 35319166 53557888 61588672 65437964 66483136 70638332 123177344 130875928 132966272 141276664 156858649 261751856 282553328 313717298 523503712 565106656 627434596 1047007424 1130213312 1254869192 2094014848 2260426624 2509738384 2666597033 5019476768 5333194066 10038953536 10666388132 20077907072 21332776264 42665552528 85331105056 170662210112 341324420224