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381778440 = 233519116657
BaseRepresentation
bin10110110000010…
…111101000001000
3222121101100120020
4112300113220020
51240213402230
6101514500440
712314030451
oct2660275010
9877340506
10381778440
1118655a87a
12a7a34720
1361131804
14389c0128
15237b4810
hex16c17a08

381778440 has 64 divisors (see below), whose sum is σ = 1151400960. Its totient is φ = 101268480.

The previous prime is 381778433. The next prime is 381778447. The reversal of 381778440 is 44877183.

381778440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (381778433) and next prime (381778447).

It is a junction number, because it is equal to n+sod(n) for n = 381778392 and 381778401.

It is not an unprimeable number, because it can be changed into a prime (381778447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14592 + ... + 31248.

It is an arithmetic number, because the mean of its divisors is an integer number (17990640).

Almost surely, 2381778440 is an apocalyptic number.

381778440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381778440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575700480).

381778440 is an abundant number, since it is smaller than the sum of its proper divisors (769622520).

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

381778440 is a wasteful number, since it uses less digits than its factorization.

381778440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16862 (or 16858 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 381778440 is about 19539.1514657111. The cubic root of 381778440 is about 725.4438439592.

The spelling of 381778440 in words is "three hundred eighty-one million, seven hundred seventy-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3820 4584 5730 7640 11460 16657 22920 33314 49971 66628 83285 99942 133256 166570 199884 249855 333140 399768 499710 666280 999420 1998840 3181487 6362974 9544461 12725948 15907435 19088922 25451896 31814870 38177844 47722305 63629740 76355688 95444610 127259480 190889220 381778440