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381068430 = 235173124103
BaseRepresentation
bin10110101101101…
…010010010001110
3222120001021121120
4112231222102032
51240023142210
6101451341410
712305012451
oct2655522216
9876037546
10381068430
11186115396
12a7751866
1360c435a2
1438877498
15236c4270
hex16b6a48e

381068430 has 64 divisors (see below), whose sum is σ = 999641088. Its totient is φ = 92551680.

The previous prime is 381068407. The next prime is 381068437. The reversal of 381068430 is 34860183.

It is a junction number, because it is equal to n+sod(n) for n = 381068391 and 381068400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381068437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3759 + ... + 27861.

It is an arithmetic number, because the mean of its divisors is an integer number (15619392).

Almost surely, 2381068430 is an apocalyptic number.

381068430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 381068430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499820544).

381068430 is an abundant number, since it is smaller than the sum of its proper divisors (618572658).

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

381068430 is a wasteful number, since it uses less digits than its factorization.

381068430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24161.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 381068430 is about 19520.9741047930. The cubic root of 381068430 is about 724.9938517116.

The spelling of 381068430 in words is "three hundred eighty-one million, sixty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 930 1054 1581 2635 3162 5270 7905 15810 24103 48206 72309 120515 144618 241030 361545 409751 723090 747193 819502 1229253 1494386 2048755 2241579 2458506 3735965 4097510 4483158 6146265 7471930 11207895 12292530 12702281 22415790 25404562 38106843 63511405 76213686 127022810 190534215 381068430