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380448020 = 225194124419
BaseRepresentation
bin10110101011010…
…010110100010100
3222111212202120102
4112223102310110
51234343314040
6101430153232
712266516621
oct2653226424
9874782512
10380448020
11185831257
12a74b2818
1360a87094
1438755348
1523600515
hex16ad2d14

380448020 has 48 divisors (see below), whose sum is σ = 861537600. Its totient is φ = 140647680.

The previous prime is 380447999. The next prime is 380448067. The reversal of 380448020 is 20844083.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3371 + ... + 27789.

It is an arithmetic number, because the mean of its divisors is an integer number (17948700).

Almost surely, 2380448020 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 380448020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430768800).

380448020 is an abundant number, since it is smaller than the sum of its proper divisors (481089580).

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

380448020 is a wasteful number, since it uses less digits than its factorization.

380448020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24488 (or 24486 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 380448020 is about 19505.0767750347. The cubic root of 380448020 is about 724.6001885958.

It can be divided in two parts, 38044 and 8020, that added together give a palindrome (46064).

The spelling of 380448020 in words is "three hundred eighty million, four hundred forty-eight thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 779 820 1558 3116 3895 7790 15580 24419 48838 97676 122095 244190 463961 488380 927922 1001179 1855844 2002358 2319805 4004716 4639610 5005895 9279220 10011790 19022401 20023580 38044802 76089604 95112005 190224010 380448020