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380022048 = 2532733847
BaseRepresentation
bin10110101001101…
…010110100100000
3222111002010020200
4112221222310200
51234241201143
6101413105200
712263064000
oct2651526440
9874063220
10380022048
1118557020a
12a7328200
1360968223
1438684000
15235691d3
hex16a6ad20

380022048 has 144 divisors (see below), whose sum is σ = 1260604800. Its totient is φ = 108549504.

The previous prime is 380022047. The next prime is 380022053. The reversal of 380022048 is 840220083.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3800220482 = 288833513932228608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (380022043) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 96861 + ... + 100707.

It is an arithmetic number, because the mean of its divisors is an integer number (8754200).

Almost surely, 2380022048 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 380022048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630302400).

380022048 is an abundant number, since it is smaller than the sum of its proper divisors (880582752).

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

380022048 is a wasteful number, since it uses less digits than its factorization.

380022048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3884 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 380022048 is about 19494.1542006828. The cubic root of 380022048 is about 724.3296525920.

The spelling of 380022048 in words is "three hundred eighty million, twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 343 392 441 504 588 672 686 784 882 1008 1029 1176 1372 1568 1764 2016 2058 2352 2744 3087 3528 3847 4116 4704 5488 6174 7056 7694 8232 10976 11541 12348 14112 15388 16464 23082 24696 26929 30776 32928 34623 46164 49392 53858 61552 69246 80787 92328 98784 107716 123104 138492 161574 184656 188503 215432 242361 276984 323148 369312 377006 430864 484722 553968 565509 646296 754012 861728 969444 1107936 1131018 1292592 1319521 1508024 1696527 1938888 2262036 2585184 2639042 3016048 3393054 3877776 3958563 4524072 5278084 6032096 6786108 7755552 7917126 9048144 10556168 11875689 13572216 15834252 18096288 21112336 23751378 27144432 31668504 42224672 47502756 54288864 63337008 95005512 126674016 190011024 380022048