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380431338 = 237171929967
BaseRepresentation
bin10110101011001…
…110101111101010
3222111211220200120
4112223032233222
51234342300323
6101425544110
712266420160
oct2653165752
9874756616
10380431338
1118581a771
12a74a5036
1360a7c601
143874d230
15235ea5e3
hex16acebea

380431338 has 128 divisors (see below), whose sum is σ = 1003622400. Its totient is φ = 93477888.

The previous prime is 380431313. The next prime is 380431369. The reversal of 380431338 is 833134083.

It is a junction number, because it is equal to n+sod(n) for n = 380431299 and 380431308.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392931 + ... + 393897.

It is an arithmetic number, because the mean of its divisors is an integer number (7840800).

Almost surely, 2380431338 is an apocalyptic number.

380431338 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 380431338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501811200).

380431338 is an abundant number, since it is smaller than the sum of its proper divisors (623191062).

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

380431338 is a wasteful number, since it uses less digits than its factorization.

380431338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044.

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 380431338 is about 19504.6491380901. The cubic root of 380431338 is about 724.5895976115.

The spelling of 380431338 in words is "three hundred eighty million, four hundred thirty-one thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 19 21 29 34 38 42 51 57 58 87 102 114 119 133 174 203 238 266 323 357 399 406 493 551 609 646 714 798 967 969 986 1102 1218 1479 1653 1934 1938 2261 2901 2958 3306 3451 3857 4522 5802 6769 6783 6902 7714 9367 10353 11571 13538 13566 16439 18373 18734 20307 20706 23142 28043 28101 32878 36746 40614 49317 55119 56086 56202 65569 84129 98634 110238 115073 128611 131138 168258 196301 196707 230146 257222 312341 345219 385833 392602 393414 476731 532817 588903 624682 690438 771666 937023 953462 1065634 1177806 1430193 1598451 1874046 2186387 2860386 3196902 3337117 3729719 4372774 6559161 6674234 7459438 9057889 10011351 11189157 13118322 18115778 20022702 22378314 27173667 54347334 63405223 126810446 190215669 380431338