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379653780 = 2235114712239
BaseRepresentation
bin10110101000010…
…000111010010100
3222110101102002010
4112220100322110
51234142410110
6101401144220
712260001222
oct2650207224
9873342063
10379653780
11185339560
12a718b070
136086970c
14385c9b12
15234e5020
hex16a10e94

379653780 has 96 divisors (see below), whose sum is σ = 1184440320. Its totient is φ = 90071680.

The previous prime is 379653773. The next prime is 379653821. The reversal of 379653780 is 87356973.

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, 24901 + ... + 37139.

It is an arithmetic number, because the mean of its divisors is an integer number (12337920).

Almost surely, 2379653780 is an apocalyptic number.

379653780 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 379653780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592220160).

379653780 is an abundant number, since it is smaller than the sum of its proper divisors (804786540).

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

379653780 is a wasteful number, since it uses less digits than its factorization.

379653780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12309 (or 12307 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 379653780 is about 19484.7063103348. The cubic root of 379653780 is about 724.0956015713.

The spelling of 379653780 in words is "three hundred seventy-nine million, six hundred fifty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 47 55 60 66 94 110 132 141 165 188 220 235 282 330 470 517 564 660 705 940 1034 1410 1551 2068 2585 2820 3102 5170 6204 7755 10340 12239 15510 24478 31020 36717 48956 61195 73434 122390 134629 146868 183585 244780 269258 367170 403887 538516 575233 673145 734340 807774 1150466 1346290 1615548 1725699 2019435 2300932 2692580 2876165 3451398 4038870 5752330 6327563 6902796 8077740 8628495 11504660 12655126 17256990 18982689 25310252 31637815 34513980 37965378 63275630 75930756 94913445 126551260 189826890 379653780