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384955380 = 223254745503
BaseRepresentation
bin10110111100011…
…111001111110100
3222211100202111200
4112330133033310
51242022033010
6102110532500
712353031615
oct2674371764
9884322450
10384955380
1118832a747
12a8b07130
13619a4864
14391a9c0c
1523be0cc0
hex16f1f3f4

384955380 has 72 divisors (see below), whose sum is σ = 1192568832. Its totient is φ = 100468416.

The previous prime is 384955379. The next prime is 384955381. The reversal of 384955380 is 83559483.

It is a happy number.

384955380 is a `hidden beast` number, since 38 + 495 + 53 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (384955379) and next prime (384955381).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384955381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14292 + ... + 31211.

It is an arithmetic number, because the mean of its divisors is an integer number (16563456).

Almost surely, 2384955380 is an apocalyptic number.

384955380 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

384955380 is an abundant number, since it is smaller than the sum of its proper divisors (807613452).

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

384955380 is a wasteful number, since it uses less digits than its factorization.

384955380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45565 (or 45560 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 384955380 is about 19620.2798145184. The cubic root of 384955380 is about 727.4505298135.

The spelling of 384955380 in words is "three hundred eighty-four million, nine hundred fifty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 423 470 564 705 846 940 1410 1692 2115 2820 4230 8460 45503 91006 136509 182012 227515 273018 409527 455030 546036 682545 819054 910060 1365090 1638108 2047635 2138641 2730180 4095270 4277282 6415923 8190540 8554564 10693205 12831846 19247769 21386410 25663692 32079615 38495538 42772820 64159230 76991076 96238845 128318460 192477690 384955380