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380078244 = 22357134297
BaseRepresentation
bin10110101001111…
…000100010100100
3222111011222100000
4112221320202210
51234300000434
6101414221300
712263416560
oct2651704244
9874158300
10380078244
111855a9457
12a7354830
1360987990
143869a6a0
152357ab99
hex16a788a4

380078244 has 144 divisors (see below), whose sum is σ = 1226546048. Its totient is φ = 100217088.

The previous prime is 380078219. The next prime is 380078269. The reversal of 380078244 is 442870083.

380078244 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (380078219) and next prime (380078269).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 380078199 and 380078208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86304 + ... + 90600.

Almost surely, 2380078244 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 380078244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613273024).

380078244 is an abundant number, since it is smaller than the sum of its proper divisors (846467804).

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

380078244 is a wasteful number, since it uses less digits than its factorization.

380078244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 380078244 is about 19495.5955025744. The cubic root of 380078244 is about 724.3653544003.

The spelling of 380078244 in words is "three hundred eighty million, seventy-eight thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 243 252 273 324 351 364 378 468 486 546 567 702 756 819 972 1053 1092 1134 1404 1638 1701 2106 2268 2457 3159 3276 3402 4212 4297 4914 6318 6804 7371 8594 9828 12636 12891 14742 17188 22113 25782 29484 30079 38673 44226 51564 55861 60158 77346 88452 90237 111722 116019 120316 154692 167583 180474 223444 232038 270711 335166 348057 360948 391027 464076 502749 541422 670332 696114 782054 812133 1005498 1044171 1082844 1173081 1392228 1508247 1564108 1624266 2010996 2088342 2346162 2436399 3016494 3248532 3519243 4176684 4524741 4692324 4872798 6032988 7038486 7309197 9049482 9745596 10557729 13574223 14076972 14618394 18098964 21115458 27148446 29236788 31673187 42230916 54296892 63346374 95019561 126692748 190039122 380078244