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381054000 = 24353411549
BaseRepresentation
bin10110101101100…
…110110000110000
3222120000112211010
4112231212300300
51240022212000
6101451150520
712304622415
oct2655466060
9876015733
10381054000
11186105568
12a7745440
1360c39b52
143887210c
15236bed50
hex16b66c30

381054000 has 160 divisors (see below), whose sum is σ = 1259294400. Its totient is φ = 99072000.

The previous prime is 381053993. The next prime is 381054001. The reversal of 381054000 is 450183.

381054000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (381054001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245226 + ... + 246774.

It is an arithmetic number, because the mean of its divisors is an integer number (7870590).

Almost surely, 2381054000 is an apocalyptic number.

381054000 is a gapful number since it is divisible by the number (30) 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 381054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629647200).

381054000 is an abundant number, since it is smaller than the sum of its proper divisors (878240400).

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

381054000 is a wasteful number, since it uses less digits than its factorization.

381054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 381054000 is about 19520.6044988366. The cubic root of 381054000 is about 724.9847004302.

The spelling of 381054000 in words is "three hundred eighty-one million, fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 125 150 164 200 205 240 246 250 300 328 375 400 410 492 500 600 615 656 750 820 984 1000 1025 1200 1230 1500 1549 1640 1968 2000 2050 2460 3000 3075 3098 3280 4100 4647 4920 5125 6000 6150 6196 7745 8200 9294 9840 10250 12300 12392 15375 15490 16400 18588 20500 23235 24600 24784 30750 30980 37176 38725 41000 46470 49200 61500 61960 63509 74352 77450 82000 92940 116175 123000 123920 127018 154900 185880 190527 193625 232350 246000 254036 309800 317545 371760 381054 387250 464700 508072 580875 619600 635090 762108 774500 929400 952635 1016144 1161750 1270180 1524216 1549000 1587725 1858800 1905270 2323500 2540360 3048432 3098000 3175450 3810540 4647000 4763175 5080720 6350900 7621080 7938625 9294000 9526350 12701800 15242160 15877250 19052700 23815875 25403600 31754500 38105400 47631750 63509000 76210800 95263500 127018000 190527000 381054000