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381467840 = 26513107857
BaseRepresentation
bin10110101111001…
…011110011000000
3222120210120111112
4112233023303000
51240123432330
6101504102452
712311265065
oct2657136300
9876716445
10381467840
11186368486
12a7904a28
1361053320
143893cc6c
1523752795
hex16bcbcc0

381467840 has 112 divisors (see below), whose sum is σ = 988539552. Its totient is φ = 139370496.

The previous prime is 381467837. The next prime is 381467843. The reversal of 381467840 is 48764183.

It is an interprime number because it is at equal distance from previous prime (381467837) and next prime (381467843).

It is not an unprimeable number, because it can be changed into a prime (381467843) 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, 444692 + ... + 445548.

It is an arithmetic number, because the mean of its divisors is an integer number (8826246).

Almost surely, 2381467840 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 381467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494269776).

381467840 is an abundant number, since it is smaller than the sum of its proper divisors (607071712).

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

381467840 is a wasteful number, since it uses less digits than its factorization.

381467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The square root of 381467840 is about 19531.2017039403. The cubic root of 381467840 is about 725.2470596758.

The spelling of 381467840 in words is "three hundred eighty-one million, four hundred sixty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 107 130 160 208 214 260 320 416 428 520 535 832 856 857 1040 1070 1391 1712 1714 2080 2140 2782 3424 3428 4160 4280 4285 5564 6848 6856 6955 8560 8570 11128 11141 13712 13910 17120 17140 22256 22282 27424 27820 34240 34280 44512 44564 54848 55640 55705 68560 89024 89128 91699 111280 111410 137120 178256 183398 222560 222820 274240 356512 366796 445120 445640 458495 713024 733592 891280 916990 1192087 1467184 1782560 1833980 2384174 2934368 3565120 3667960 4768348 5868736 5960435 7335920 9536696 11920870 14671840 19073392 23841740 29343680 38146784 47683480 76293568 95366960 190733920 381467840