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380887040 = 213517547
BaseRepresentation
bin10110101100111…
…110000000000000
3222112201001210102
4112230332000000
51240001341130
6101443421532
712303325562
oct2654760000
9875631712
10380887040
11186001086
12a76848a8
1360babb61
143882b332
152368a645
hex16b3e000

380887040 has 112 divisors (see below), whose sum is σ = 969611472. Its totient is φ = 143130624.

The previous prime is 380887033. The next prime is 380887079. The reversal of 380887040 is 40788083.

It is a junction number, because it is equal to n+sod(n) for n = 380886985 and 380887003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696047 + ... + 696593.

Almost surely, 2380887040 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 380887040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484805736).

380887040 is an abundant number, since it is smaller than the sum of its proper divisors (588724432).

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

380887040 is an equidigital number, since it uses as much as digits as its factorization.

380887040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 38.

The square root of 380887040 is about 19516.3275233841. The cubic root of 380887040 is about 724.8788001917.

The spelling of 380887040 in words is "three hundred eighty million, eight hundred eighty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 547 640 680 1024 1088 1094 1280 1360 2048 2176 2188 2560 2720 2735 4096 4352 4376 5120 5440 5470 8192 8704 8752 9299 10240 10880 10940 17408 17504 18598 20480 21760 21880 34816 35008 37196 40960 43520 43760 46495 69632 70016 74392 87040 87520 92990 139264 140032 148784 174080 175040 185980 280064 297568 348160 350080 371960 560128 595136 696320 700160 743920 1120256 1190272 1400320 1487840 2240512 2380544 2800640 2975680 4481024 4761088 5601280 5951360 9522176 11202560 11902720 19044352 22405120 23805440 38088704 47610880 76177408 95221760 190443520 380887040