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344545704672 = 25313299519941
BaseRepresentation
bin1010000001110001000…
…01100011101011100000
31012221022222112021202220
411000320201203223200
521121112200022142
6422140534111040
733615110111421
oct5007041435340
91187288467686
10344545704672
11123137082564
12569377ab480
132664b89ac40
1412967315648
158e682b12ec
hex5038863ae0

344545704672 has 96 divisors (see below), whose sum is σ = 1007590661280. Its totient is φ = 102358394880.

The previous prime is 344545704619. The next prime is 344545704677. The reversal of 344545704672 is 276407545443.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344545704677) 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, 4723779 + ... + 4796162.

It is an arithmetic number, because the mean of its divisors is an integer number (10495736055).

Almost surely, 2344545704672 is an apocalyptic number.

344545704672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

344545704672 is an abundant number, since it is smaller than the sum of its proper divisors (663044956608).

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

344545704672 is a wasteful number, since it uses less digits than its factorization.

344545704672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9519996 (or 9519988 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 51.

The spelling of 344545704672 in words is "three hundred forty-four billion, five hundred forty-five million, seven hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 78 87 96 104 116 156 174 208 232 312 348 377 416 464 624 696 754 928 1131 1248 1392 1508 2262 2784 3016 4524 6032 9048 12064 18096 36192 9519941 19039882 28559823 38079764 57119646 76159528 114239292 123759233 152319056 228478584 247518466 276078289 304638112 371277699 456957168 495036932 552156578 742555398 828234867 913914336 990073864 1104313156 1485110796 1656469734 1980147728 2208626312 2970221592 3312939468 3589017757 3960295456 4417252624 5940443184 6625878936 7178035514 8834505248 10767053271 11880886368 13251757872 14356071028 21534106542 26503515744 28712142056 43068213084 57424284112 86136426168 114848568224 172272852336 344545704672