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340424440224 = 253111718963037
BaseRepresentation
bin1001111010000101110…
…00001011100110100000
31012112200202122100202220
410331002320023212200
521034142124041344
6420215553111040
733411014666241
oct4750270134640
91175622570686
10340424440224
111214117a3590
1255b87558480
1326142acbc1b
1412695c36cc8
158cc6585c19
hex4f42e0b9a0

340424440224 has 96 divisors (see below), whose sum is σ = 1032196084416. Its totient is φ = 97090744320.

The previous prime is 340424440211. The next prime is 340424440231. The reversal of 340424440224 is 422044424043.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9463567 + ... + 9499470.

It is an arithmetic number, because the mean of its divisors is an integer number (10752042546).

Almost surely, 2340424440224 is an apocalyptic number.

340424440224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

340424440224 is an abundant number, since it is smaller than the sum of its proper divisors (691771644192).

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

340424440224 is a wasteful number, since it uses less digits than its factorization.

340424440224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18963078 (or 18963070 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 33.

Adding to 340424440224 its reverse (422044424043), we get a palindrome (762468864267).

The spelling of 340424440224 in words is "three hundred forty billion, four hundred twenty-four million, four hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 18963037 37926074 56889111 75852148 113778222 151704296 208593407 227556444 303408592 322371629 417186814 455112888 606817184 625780221 644743258 834373628 910225776 967114887 1251560442 1289486516 1668747256 1820451552 1934229774 2503120884 2578973032 3337494512 3546087919 3868459548 5006241768 5157946064 6674989024 7092175838 7736919096 10012483536 10315892128 10638263757 14184351676 15473838192 20024967072 21276527514 28368703352 30947676384 42553055028 56737406704 85106110056 113474813408 170212220112 340424440224