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381666688 = 2713347661
BaseRepresentation
bin10110101111111…
…100010110000000
3222121011200021021
4112233330112000
51240201313223
6101512235224
712313053604
oct2657742600
9877150237
10381666688
11186493917
12a799bb14
13610c29a0
1438991504
152379165d
hex16bfc580

381666688 has 64 divisors (see below), whose sum is σ = 822442320. Its totient is φ = 175380480.

The previous prime is 381666683. The next prime is 381666697. The reversal of 381666688 is 886666183.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (381666683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577078 + ... + 577738.

Almost surely, 2381666688 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 381666688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411221160).

381666688 is an abundant number, since it is smaller than the sum of its proper divisors (440775632).

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

381666688 is a wasteful number, since it uses less digits than its factorization.

381666688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1023 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 52.

The square root of 381666688 is about 19536.2915621159. The cubic root of 381666688 is about 725.3730544616.

The spelling of 381666688 in words is "three hundred eighty-one million, six hundred sixty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 347 416 661 694 832 1322 1388 1664 2644 2776 4511 5288 5552 8593 9022 10576 11104 17186 18044 21152 22208 34372 36088 42304 44416 68744 72176 84608 137488 144352 229367 274976 288704 458734 549952 577408 917468 1099904 1834936 2981771 3669872 5963542 7339744 11927084 14679488 23854168 29358976 47708336 95416672 190833344 381666688