Search a number
-
+
381554670 = 235721132297
BaseRepresentation
bin10110101111100…
…000111111101110
3222120221222121110
4112233200333232
51240134222140
6101510012450
712312106200
oct2657407756
9876858543
10381554670
11186417742
12a7947126
13610839c3
1438962770
152376d380
hex16be0fee

381554670 has 96 divisors (see below), whose sum is σ = 1075133088. Its totient is φ = 86403072.

The previous prime is 381554633. The next prime is 381554687. The reversal of 381554670 is 76455183.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164962 + ... + 167258.

It is an arithmetic number, because the mean of its divisors is an integer number (11199303).

Almost surely, 2381554670 is an apocalyptic number.

381554670 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 381554670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537566544).

381554670 is an abundant number, since it is smaller than the sum of its proper divisors (693578418).

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

381554670 is a wasteful number, since it uses less digits than its factorization.

381554670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2434 (or 2427 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 381554670 is about 19533.4244309594. The cubic root of 381554670 is about 725.3020825970.

It can be divided in two parts, 3815 and 54670, that added together give a palindrome (58485).

The spelling of 381554670 in words is "three hundred eighty-one million, five hundred fifty-four thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 113 147 210 226 245 294 339 490 565 678 735 791 1130 1470 1582 1695 2297 2373 3390 3955 4594 4746 5537 6891 7910 11074 11485 11865 13782 16079 16611 22970 23730 27685 32158 33222 34455 48237 55370 68910 80395 83055 96474 112553 160790 166110 225106 241185 259561 337659 482370 519122 562765 675318 778683 1125530 1297805 1557366 1688295 1816927 2595610 3376590 3633854 3893415 5450781 7786830 9084635 10901562 12718489 18169270 25436978 27253905 38155467 54507810 63592445 76310934 127184890 190777335 381554670