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348644340 = 2232511374759
BaseRepresentation
bin10100110001111…
…110001111110100
3220022000222010100
4110301332033310
51203223104330
654332354100
711432266542
oct2461761764
9808028110
10348644340
11169889720
1298915930
1357300135
1434436d92
152091c060
hex14c7e3f4

348644340 has 144 divisors (see below), whose sum is σ = 1185125760. Its totient is φ = 82218240.

The previous prime is 348644339. The next prime is 348644371. The reversal of 348644340 is 43446843.

348644340 is a `hidden beast` number, since 3 + 4 + 8 + 644 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 348644295 and 348644304.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 70881 + ... + 75639.

It is an arithmetic number, because the mean of its divisors is an integer number (8230040).

Almost surely, 2348644340 is an apocalyptic number.

348644340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 348644340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592562880).

348644340 is an abundant number, since it is smaller than the sum of its proper divisors (836481420).

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

348644340 is a wasteful number, since it uses less digits than its factorization.

348644340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4817 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 348644340 is about 18672.0202442050. The cubic root of 348644340 is about 703.8188158264.

It can be divided in two parts, 34864 and 4340, that added together give a square (39204 = 1982).

The spelling of 348644340 in words is "three hundred forty-eight million, six hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4759 4884 6105 6660 7326 8140 9518 12210 14277 14652 18315 19036 23795 24420 28554 36630 42831 47590 52349 57108 71385 73260 85662 95180 104698 142770 157047 171324 176083 209396 214155 261745 285540 314094 352166 428310 471141 523490 528249 628188 704332 785235 856620 880415 942282 1046980 1056498 1570470 1584747 1760830 1884564 1936913 2112996 2355705 2641245 3140940 3169494 3521660 3873826 4711410 5282490 5810739 6338988 7747652 7923735 9422820 9684565 10564980 11621478 15847470 17432217 19369130 23242956 29053695 31694940 34864434 38738260 58107390 69728868 87161085 116214780 174322170 348644340