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344101102232104 = 237263145924376571
BaseRepresentation
bin100111000111101010100011…
…1111101110010001000101000
31200010100202002110020211112201
41032033111013331302020220
5330100223024132411404
63215501510350145544
7132323325043406140
oct11617250775621050
91603322073224481
10344101102232104
119a706504570588
1232715122ab22b4
1311a0079675a389
1460d8821831920
1529bacd53e7ca4
hex138f547f72228

344101102232104 has 128 divisors (see below), whose sum is σ = 741087153100800. Its totient is φ = 146727902926080.

The previous prime is 344101102232087. The next prime is 344101102232117. The reversal of 344101102232104 is 401232201101443.

It is a happy number.

It is a super-2 number, since 2×3441011022321042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52366623139 + ... + 52366629709.

It is an arithmetic number, because the mean of its divisors is an integer number (5789743383600).

Almost surely, 2344101102232104 is an apocalyptic number.

It is an amenable number.

344101102232104 is an abundant number, since it is smaller than the sum of its proper divisors (396986050868696).

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

344101102232104 is a wasteful number, since it uses less digits than its factorization.

344101102232104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10743 (or 10739 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 344101102232104 its reverse (401232201101443), we get a palindrome (745333303333547).

The spelling of 344101102232104 in words is "three hundred forty-four trillion, one hundred one billion, one hundred two million, two hundred thirty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 56 263 526 1052 1459 1841 2104 2437 2918 3682 4874 5836 6571 7364 9748 10213 11672 13142 14728 17059 19496 20426 26284 34118 40852 45997 52568 68236 81704 91994 136472 183988 367976 383717 640931 767434 1281862 1534868 1728173 2563724 2686019 3069736 3456346 3555583 4486517 5127448 5372038 6912692 7111166 8973034 9587089 10744076 12097211 13825384 14222332 16013527 17946068 19174178 21488152 24194422 24889081 28444664 32027054 35892136 38348356 48388844 49778162 64054108 67109623 76696712 96777688 99556324 112094689 128108216 134219246 199112648 224189378 268438492 448378756 536876984 896757512 935118329 1870236658 2521404407 3740473316 4211557601 5042808814 6545828303 7480946632 8423115202 10085617628 13091656606 16846230404 17649830849 20171235256 23363735893 26183313212 29480903207 33692460808 35299661698 46727471786 52366626424 58961806414 70599323396 93454943572 117923612828 141198646792 163546151251 186909887144 235847225656 327092302502 654184605004 1308369210008 6144662539859 12289325079718 24578650159436 43012637779013 49157300318872 86025275558026 172050551116052 344101102232104