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345454443203312 = 242310334789189757
BaseRepresentation
bin100111010001100000110000…
…1010111111000101011110000
31200022011010022010001101022002
41032203001201113320223300
5330234411144430001222
63222415325204033132
7132523155100020242
oct11643014127705360
91608133263041262
10345454443203312
11a0088452233953
12328b34760927a8
1311a9b2a2820471
146144127310092
1529e10e215a392
hex13a30615f8af0

345454443203312 has 80 divisors (see below), whose sum is σ = 699244537062720. Its totient is φ = 165022067460096.

The previous prime is 345454443203291. The next prime is 345454443203323. The reversal of 345454443203312 is 213302344454543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1820414738 + ... + 1820604494.

It is an arithmetic number, because the mean of its divisors is an integer number (8740556713284).

Almost surely, 2345454443203312 is an apocalyptic number.

It is an amenable number.

345454443203312 is an abundant number, since it is smaller than the sum of its proper divisors (353790093859408).

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

345454443203312 is a wasteful number, since it uses less digits than its factorization.

345454443203312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195610 (or 195604 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 47.

Adding to 345454443203312 its reverse (213302344454543), we get a palindrome (558756787657855).

The spelling of 345454443203312 in words is "three hundred forty-five trillion, four hundred fifty-four billion, four hundred forty-three million, two hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 46 92 184 368 1033 2066 4132 4789 8264 9578 16528 19156 23759 38312 47518 76624 95036 110147 189757 190072 220294 379514 380144 440588 759028 881176 1518056 1762352 3036112 4364411 4947037 8728822 9894074 17457644 19788148 34915288 39576296 69830576 79152592 113781851 196018981 227563702 392037962 455127404 784075924 908746273 910254808 1568151848 1817492546 1820509616 3136303696 3634985092 4508436563 7269970184 9016873126 14539940368 18033746252 20901164279 36067492504 41802328558 72134985008 83604657116 167209314232 334418628464 938734900009 1877469800018 3754939600036 7509879200072 15019758400144 21590902700207 43181805400414 86363610800828 172727221601656 345454443203312