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381307626 = 232731412381
BaseRepresentation
bin10110101110100…
…100101011101010
3222120111102201200
4112232210223222
51240103321001
6101500425030
712310030020
oct2656445352
9876442650
10381307626
11186269077
12a7848176
1360cc841b
14388da710
1523720086
hex16ba4aea

381307626 has 96 divisors (see below), whose sum is σ = 998839296. Its totient is φ = 102816000.

The previous prime is 381307613. The next prime is 381307649. The reversal of 381307626 is 626703183.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158956 + ... + 161336.

It is an arithmetic number, because the mean of its divisors is an integer number (10404576).

Almost surely, 2381307626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381307626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499419648).

381307626 is an abundant number, since it is smaller than the sum of its proper divisors (617531670).

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

381307626 is a wasteful number, since it uses less digits than its factorization.

381307626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2468 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 381307626 is about 19527.0997846582. The cubic root of 381307626 is about 725.1455124495.

The spelling of 381307626 in words is "three hundred eighty-one million, three hundred seven thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 41 42 62 63 82 93 123 126 186 217 246 279 287 369 434 558 574 651 738 861 1271 1302 1722 1953 2381 2542 2583 3813 3906 4762 5166 7143 7626 8897 11439 14286 16667 17794 21429 22878 26691 33334 42858 50001 53382 73811 80073 97621 100002 147622 150003 160146 195242 221433 292863 300006 442866 516677 585726 664299 683347 878589 1033354 1328598 1366694 1550031 1757178 2050041 3026251 3100062 4100082 4650093 6052502 6150123 9078753 9300186 12300246 18157506 21183757 27236259 42367514 54472518 63551271 127102542 190653813 381307626