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1067414382 = 23331532227
BaseRepresentation
bin111111100111110…
…111001101101110
32202101112021021000
4333213313031232
54141224230012
6253530221130
735310605166
oct7747671556
92671467230
101067414382
114a8589251
122595847a6
131401b1b58
14a1a995a6
1563a9addc
hex3f9f736e

1067414382 has 96 divisors (see below), whose sum is σ = 2506613760. Its totient is φ = 336342240.

The previous prime is 1067414363. The next prime is 1067414399. The reversal of 1067414382 is 2834147601.

It is a super-2 number, since 2×10674143822 = 2278746925800883848, which contains 22 as substring.

It is a congruent 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, 4702153 + ... + 4702379.

It is an arithmetic number, because the mean of its divisors is an integer number (26110560).

Almost surely, 21067414382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1067414382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253306880).

1067414382 is an abundant number, since it is smaller than the sum of its proper divisors (1439199378).

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

1067414382 is a wasteful number, since it uses less digits than its factorization.

1067414382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1067414382 is about 32671.3082382692. The cubic root of 1067414382 is about 1021.9845963086.

The spelling of 1067414382 in words is "one billion, sixty-seven million, four hundred fourteen thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 31 53 54 62 93 106 159 186 227 279 318 454 477 558 681 837 954 1362 1431 1643 1674 2043 2809 2862 3286 4086 4929 5618 6129 7037 8427 9858 12031 12258 14074 14787 16854 21111 24062 25281 29574 36093 42222 44361 50562 63333 72186 75843 87079 88722 108279 126666 151686 174158 189999 216558 261237 324837 372961 379998 522474 637643 649674 745922 783711 1118883 1275286 1567422 1912929 2237766 2351133 3356649 3825858 4702266 5738787 6713298 10069947 11477574 17216361 19766933 20139894 34432722 39533866 59300799 118601598 177902397 355804794 533707191 1067414382