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381707392 = 27111737431
BaseRepresentation
bin10110110000000…
…110010010000000
3222121020202002211
4112300012102000
51240204114032
6101513151504
712313313353
oct2660062200
9877222084
10381707392
11186511460
12a79bb594
1361108381
14389a229a
152379d747
hex16c06480

381707392 has 128 divisors (see below), whose sum is σ = 904193280. Its totient is φ = 158515200.

The previous prime is 381707377. The next prime is 381707393. The reversal of 381707392 is 293707183.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (381707393) 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, 885417 + ... + 885847.

It is an arithmetic number, because the mean of its divisors is an integer number (7064010).

Almost surely, 2381707392 is an apocalyptic number.

381707392 is a gapful number since it is divisible by the number (32) 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 381707392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452096640).

381707392 is an abundant number, since it is smaller than the sum of its proper divisors (522485888).

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

381707392 is a wasteful number, since it uses less digits than its factorization.

381707392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 381707392 is about 19537.3332878364. Note that the first 3 decimals coincide. The cubic root of 381707392 is about 725.3988400805.

The spelling of 381707392 in words is "three hundred eighty-one million, seven hundred seven thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 37 44 64 68 74 88 128 136 148 176 187 272 296 352 374 407 431 544 592 629 704 748 814 862 1088 1184 1258 1408 1496 1628 1724 2176 2368 2516 2992 3256 3448 4736 4741 5032 5984 6512 6896 6919 7327 9482 10064 11968 13024 13792 13838 14654 15947 18964 20128 23936 26048 27584 27676 29308 31894 37928 40256 52096 55168 55352 58616 63788 75856 80512 80597 110704 117232 127576 151712 161194 175417 221408 234464 255152 271099 303424 322388 350834 442816 468928 510304 542198 606848 644776 701668 885632 937856 1020608 1084396 1289552 1403336 2041216 2168792 2579104 2806672 2982089 4337584 5158208 5613344 5964178 8675168 10316416 11226688 11928356 17350336 22453376 23856712 34700672 47713424 95426848 190853696 381707392