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380016780 = 2235111323407
BaseRepresentation
bin10110101001101…
…001100010001100
3222111001212000120
4112221221202030
51234241014110
6101413024540
712263042433
oct2651514214
9874055016
10380016780
11185567260
12a7325150
1360965a00
143868211a
1523567870
hex16a6988c

380016780 has 144 divisors (see below), whose sum is σ = 1257306624. Its totient is φ = 85013760.

The previous prime is 380016727. The next prime is 380016811. The reversal of 380016780 is 87610083.

380016780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109837 + ... + 113243.

It is an arithmetic number, because the mean of its divisors is an integer number (8731296).

Almost surely, 2380016780 is an apocalyptic number.

380016780 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 380016780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628653312).

380016780 is an abundant number, since it is smaller than the sum of its proper divisors (877289844).

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

380016780 is a wasteful number, since it uses less digits than its factorization.

380016780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 380016780 is about 19494.0190827854. The cubic root of 380016780 is about 724.3263056052.

The spelling of 380016780 in words is "three hundred eighty million, sixteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 169 195 220 260 286 330 338 390 429 507 572 660 676 715 780 845 858 1014 1430 1690 1716 1859 2028 2145 2535 2860 3380 3407 3718 4290 5070 5577 6814 7436 8580 9295 10140 10221 11154 13628 17035 18590 20442 22308 27885 34070 37180 37477 40884 44291 51105 55770 68140 74954 88582 102210 111540 112431 132873 149908 177164 187385 204420 221455 224862 265746 374770 442910 449724 487201 531492 562155 575783 664365 749540 885820 974402 1124310 1151566 1328730 1461603 1727349 1948804 2248620 2303132 2436005 2657460 2878915 2923206 3454698 4872010 5757830 5846412 6333613 6909396 7308015 8636745 9744020 11515660 12667226 14616030 17273490 19000839 25334452 29232060 31668065 34546980 38001678 63336130 76003356 95004195 126672260 190008390 380016780