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381044430 = 2325131961281
BaseRepresentation
bin10110101101100…
…100011011001110
3222120000001200200
4112231210123032
51240021410210
6101451034330
712304552464
oct2655443316
9876001620
10381044430
111860a9358
12a773b9a6
1360c356a0
143886c834
15236bc0c0
hex16b646ce

381044430 has 192 divisors, whose sum is σ = 1145551680. Its totient is φ = 87091200.

The previous prime is 381044407. The next prime is 381044431. The reversal of 381044430 is 34440183.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 381044394 and 381044403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381044431) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1355890 + ... + 1356170.

It is an arithmetic number, because the mean of its divisors is an integer number (5966415).

Almost surely, 2381044430 is an apocalyptic number.

381044430 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 381044430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572775840).

381044430 is an abundant number, since it is smaller than the sum of its proper divisors (764507250).

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

381044430 is a wasteful number, since it uses less digits than its factorization.

381044430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 381044430 is about 19520.3593716919. The cubic root of 381044430 is about 724.9786311577.

The spelling of 381044430 in words is "three hundred eighty-one million, forty-four thousand, four hundred thirty".