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342344624321400 = 23352896410948021
BaseRepresentation
bin100110111010111000101000…
…1101110010011001101111000
31122220010211022111011212210020
41031311301101232103031320
5324332433242311241100
63212034541012450440
7132052403634455601
oct11565612156231570
91586124274155706
10342344624321400
119a0995a3583838
1232490822019a20
1311903c6219943c
1460777d52dcda8
15298a2816985a0
hex1375c51b93378

342344624321400 has 96 divisors (see below), whose sum is σ = 1073192698882800. Its totient is φ = 90266148121600.

The previous prime is 342344624321369. The next prime is 342344624321423. The reversal of 342344624321400 is 4123426443243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3205420611 + ... + 3205527410.

Almost surely, 2342344624321400 is an apocalyptic number.

342344624321400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342344624321400 is an abundant number, since it is smaller than the sum of its proper divisors (730848074561400).

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

342344624321400 is a wasteful number, since it uses less digits than its factorization.

342344624321400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6410948129 (or 6410948120 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

The spelling of 342344624321400 in words is "three hundred forty-two trillion, three hundred forty-four billion, six hundred twenty-four million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 89 100 120 150 178 200 267 300 356 445 534 600 712 890 1068 1335 1780 2136 2225 2670 3560 4450 5340 6675 8900 10680 13350 17800 26700 53400 6410948021 12821896042 19232844063 25643792084 32054740105 38465688126 51287584168 64109480210 76931376252 96164220315 128218960420 153862752504 160273700525 192328440630 256437920840 320547401050 384656881260 480821101575 570574373869 641094802100 769313762520 961642203150 1141148747738 1282189604200 1711723121607 1923284406300 2282297495476 2852871869345 3423446243214 3846568812600 4564594990952 5705743738690 6846892486428 8558615608035 11411487477380 13693784972856 14264359346725 17117231216070 22822974954760 28528718693450 34234462432140 42793078040175 57057437386900 68468924864280 85586156080350 114114874773800 171172312160700 342344624321400