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379714848 = 253191791163
BaseRepresentation
bin10110101000011…
…111110100100000
3222110111111211220
4112220133310200
51234201333343
6101402335040
712260344242
oct2650376440
9873444756
10379714848
11185380427
12a71ba480
136088b456
1438604092
1523508183
hex16a1fd20

379714848 has 96 divisors (see below), whose sum is σ = 1055980800. Its totient is φ = 119137536.

The previous prime is 379714837. The next prime is 379714861. The reversal of 379714848 is 848417973.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 379714848.

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, 325915 + ... + 327077.

It is an arithmetic number, because the mean of its divisors is an integer number (10999800).

Almost surely, 2379714848 is an apocalyptic number.

379714848 is a gapful number since it is divisible by the number (38) 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 379714848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527990400).

379714848 is an abundant number, since it is smaller than the sum of its proper divisors (676265952).

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

379714848 is a wasteful number, since it uses less digits than its factorization.

379714848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1366 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 379714848 is about 19486.2733225212. The cubic root of 379714848 is about 724.1344235207.

The spelling of 379714848 in words is "three hundred seventy-nine million, seven hundred fourteen thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 179 228 304 358 456 537 608 716 912 1074 1163 1432 1824 2148 2326 2864 3401 3489 4296 4652 5728 6802 6978 8592 9304 10203 13604 13956 17184 18608 20406 22097 27208 27912 37216 40812 44194 54416 55824 66291 81624 88388 108832 111648 132582 163248 176776 208177 265164 326496 353552 416354 530328 624531 707104 832708 1060656 1249062 1665416 2121312 2498124 3330832 3955363 4996248 6661664 7910726 9992496 11866089 15821452 19984992 23732178 31642904 47464356 63285808 94928712 126571616 189857424 379714848