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379626780 = 2235131792719
BaseRepresentation
bin10110101000001…
…010010100011100
3222110100001001010
4112220022110130
51234141024110
6101400415220
712256526421
oct2650122434
9873301033
10379626780
11185320245
12a7177510
136085a340
14385bdd48
15234dc020
hex16a0a51c

379626780 has 96 divisors (see below), whose sum is σ = 1151539200. Its totient is φ = 92890368.

The previous prime is 379626773. The next prime is 379626803. The reversal of 379626780 is 87626973.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138261 + ... + 140979.

It is an arithmetic number, because the mean of its divisors is an integer number (11995200).

Almost surely, 2379626780 is an apocalyptic number.

379626780 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 379626780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575769600).

379626780 is an abundant number, since it is smaller than the sum of its proper divisors (771912420).

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

379626780 is a wasteful number, since it uses less digits than its factorization.

379626780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 379626780 is about 19484.0134469262. The cubic root of 379626780 is about 724.0784358924.

It can be divided in two parts, 379626 and 780, that multiplied together give a triangular number (296108280 = T24335).

The spelling of 379626780 in words is "three hundred seventy-nine million, six hundred twenty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 179 195 260 358 390 537 716 780 895 1074 1790 2148 2327 2685 2719 3580 4654 5370 5438 6981 8157 9308 10740 10876 11635 13595 13962 16314 23270 27190 27924 32628 34905 35347 40785 46540 54380 69810 70694 81570 106041 139620 141388 163140 176735 212082 353470 424164 486701 530205 706940 973402 1060410 1460103 1946804 2120820 2433505 2920206 4867010 5840412 6327113 7300515 9734020 12654226 14601030 18981339 25308452 29202060 31635565 37962678 63271130 75925356 94906695 126542260 189813390 379626780