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3755423340 = 22325191098077
BaseRepresentation
bin1101111111010111…
…0011011001101100
3100200201111021100100
43133311303121230
530142342021330
61420351431100
7162030400044
oct33765633154
910621437310
103755423340
111657925159
12889825490
1347b05a6b6
14278a8a724
1516ea63060
hexdfd7366c

3755423340 has 72 divisors (see below), whose sum is σ = 11991011760. Its totient is φ = 948737664.

The previous prime is 3755423333. The next prime is 3755423351. The reversal of 3755423340 is 433245573.

3755423340 is a `hidden beast` number, since 3 + 75 + 542 + 3 + 3 + 40 = 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 = 3755423295 and 3755423304.

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, 545619 + ... + 552458.

It is an arithmetic number, because the mean of its divisors is an integer number (166541830).

Almost surely, 23755423340 is an apocalyptic number.

3755423340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3755423340 is an abundant number, since it is smaller than the sum of its proper divisors (8235588420).

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

3755423340 is a wasteful number, since it uses less digits than its factorization.

3755423340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098111 (or 1098106 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The square root of 3755423340 is about 61281.5089566176. The cubic root of 3755423340 is about 1554.3648512498.

The spelling of 3755423340 in words is "three billion, seven hundred fifty-five million, four hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 1098077 2196154 3294231 4392308 5490385 6588462 9882693 10980770 13176924 16471155 19765386 20863463 21961540 32942310 39530772 41726926 49413465 62590389 65884620 83453852 98826930 104317315 125180778 187771167 197653860 208634630 250361556 312951945 375542334 417269260 625903890 751084668 938855835 1251807780 1877711670 3755423340