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379701280 = 2557347977
BaseRepresentation
bin10110101000011…
…100100000100000
3222110110211020101
4112220130200200
51234200420110
6101402152144
712260256550
oct2650344040
9873424211
10379701280
11185371212
12a71b2654
136088521a
14385dd160
152350413a
hex16a1c820

379701280 has 96 divisors (see below), whose sum is σ = 1029200256. Its totient is φ = 129675264.

The previous prime is 379701277. The next prime is 379701293. The reversal of 379701280 is 82107973.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 388152 + ... + 389128.

It is an arithmetic number, because the mean of its divisors is an integer number (10720836).

Almost surely, 2379701280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379701280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514600128).

379701280 is an abundant number, since it is smaller than the sum of its proper divisors (649498976).

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

379701280 is a wasteful number, since it uses less digits than its factorization.

379701280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 379701280 is about 19485.9251769065. The cubic root of 379701280 is about 724.1257984758.

The spelling of 379701280 in words is "three hundred seventy-nine million, seven hundred one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 347 560 694 977 1120 1388 1735 1954 2429 2776 3470 3908 4858 4885 5552 6839 6940 7816 9716 9770 11104 12145 13678 13880 15632 19432 19540 24290 27356 27760 31264 34195 38864 39080 48580 54712 55520 68390 77728 78160 97160 109424 136780 156320 194320 218848 273560 339019 388640 547120 678038 1094240 1356076 1695095 2373133 2712152 3390190 4746266 5424304 6780380 9492532 10848608 11865665 13560760 18985064 23731330 27121520 37970128 47462660 54243040 75940256 94925320 189850640 379701280