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381353010 = 235173124121
BaseRepresentation
bin10110101110101…
…111110000110010
3222120120201222120
4112232233300302
51240111244020
6101501415110
712310306233
oct2656576062
9876521876
10381353010
1118629a185
12a786a496
1361012c8c
143890d08a
152372d740
hex16bafc32

381353010 has 64 divisors (see below), whose sum is σ = 1000387584. Its totient is φ = 92620800.

The previous prime is 381352997. The next prime is 381353051. The reversal of 381353010 is 10353183.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3750 + ... + 27870.

It is an arithmetic number, because the mean of its divisors is an integer number (15631056).

Almost surely, 2381353010 is an apocalyptic number.

381353010 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 381353010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500193792).

381353010 is an abundant number, since it is smaller than the sum of its proper divisors (619034574).

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

381353010 is a wasteful number, since it uses less digits than its factorization.

381353010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24179.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 381353010 is about 19528.2618274131. The cubic root of 381353010 is about 725.1742807336.

The spelling of 381353010 in words is "three hundred eighty-one million, three hundred fifty-three thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 310 465 510 527 930 1054 1581 2635 3162 5270 7905 15810 24121 48242 72363 120605 144726 241210 361815 410057 723630 747751 820114 1230171 1495502 2050285 2243253 2460342 3738755 4100570 4486506 6150855 7477510 11216265 12301710 12711767 22432530 25423534 38135301 63558835 76270602 127117670 190676505 381353010