Search a number
-
+
381002880 = 2735198439
BaseRepresentation
bin10110101101011…
…010010010000000
3222112220221200210
4112231122102000
51240014043010
6101450114120
712304320366
oct2655322200
9875827623
10381002880
11186080115
12a771b940
1360c1c7bb
143885b636
15236aeb20
hex16b5a480

381002880 has 64 divisors (see below), whose sum is σ = 1214452800. Its totient is φ = 101600256.

The previous prime is 381002879. The next prime is 381002893. The reversal of 381002880 is 88200183.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97300 + ... + 101139.

It is an arithmetic number, because the mean of its divisors is an integer number (18975825).

Almost surely, 2381002880 is an apocalyptic number.

381002880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

381002880 is an abundant number, since it is smaller than the sum of its proper divisors (833449920).

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

381002880 is a wasteful number, since it uses less digits than its factorization.

381002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198461 (or 198449 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 381002880 is about 19519.2950692385. The cubic root of 381002880 is about 724.9522790627.

The spelling of 381002880 in words is "three hundred eighty-one million, two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 198439 396878 595317 793756 992195 1190634 1587512 1984390 2381268 2976585 3175024 3968780 4762536 5953170 6350048 7937560 9525072 11906340 12700096 15875120 19050144 23812680 25400192 31750240 38100288 47625360 63500480 76200576 95250720 127000960 190501440 381002880