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380143984 = 24115383491
BaseRepresentation
bin10110101010001…
…000100101110000
3222111022022111211
4112222020211300
51234304101414
6101415445504
712264112333
oct2652104560
9874268454
10380143984
11185643890
12a7386894
13609ab88c
14386b661a
15235903c4
hex16a88970

380143984 has 80 divisors (see below), whose sum is σ = 830196864. Its totient is φ = 167148800.

The previous prime is 380143913. The next prime is 380143991. The reversal of 380143984 is 489341083.

It is a congruent number.

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, 773979 + ... + 774469.

Almost surely, 2380143984 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 380143984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415098432).

380143984 is an abundant number, since it is smaller than the sum of its proper divisors (450052880).

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

380143984 is a wasteful number, since it uses less digits than its factorization.

380143984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 380143984 is about 19497.2814515255. The cubic root of 380143984 is about 724.4071151288.

The spelling of 380143984 in words is "three hundred eighty million, one hundred forty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 44 53 83 88 106 166 176 212 332 424 491 583 664 848 913 982 1166 1328 1826 1964 2332 3652 3928 4399 4664 5401 7304 7856 8798 9328 10802 14608 17596 21604 26023 35192 40753 43208 48389 52046 70384 81506 86416 96778 104092 163012 193556 208184 286253 326024 387112 416368 448283 572506 652048 774224 896566 1145012 1793132 2159909 2290024 3586264 4319818 4580048 7172528 8639636 17279272 23758999 34558544 47517998 95035996 190071992 380143984