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1074329685 = 3251113732287
BaseRepresentation
bin100000000001000…
…1111100001010101
32202212112121021100
41000002033201111
54200012022220
6254334340313
735423436342
oct10002174125
92685477240
101074329685
11501481880
1225b95a699
13141763650
14a29797c9
15644b4d90
hex4008f855

1074329685 has 96 divisors (see below), whose sum is σ = 2218664448. Its totient is φ = 474024960.

The previous prime is 1074329651. The next prime is 1074329687. The reversal of 1074329685 is 5869234701.

1074329685 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1074329685 - 28 = 1074329429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

1074329685 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 1074329685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074329687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 468612 + ... + 470898.

It is an arithmetic number, because the mean of its divisors is an integer number (23111088).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1074329685 = 2148659370, but 3⋅1074329685 = 3222989055 is not.

Almost surely, 21074329685 is an apocalyptic number.

1074329685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1074329685 is an abundant number, since it is smaller than the sum of its proper divisors (1144334763).

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

1074329685 is a wasteful number, since it uses less digits than its factorization.

1074329685 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1074329685 is about 32776.9688195843. The cubic root of 1074329685 is about 1024.1868418853.

The spelling of 1074329685 in words is "one billion, seventy-four million, three hundred twenty-nine thousand, six hundred eighty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 73 99 117 143 165 195 219 365 429 495 585 657 715 803 949 1095 1287 2145 2287 2409 2847 3285 4015 4745 6435 6861 7227 8541 10439 11435 12045 14235 20583 25157 29731 31317 34305 36135 42705 52195 75471 89193 93951 102915 125785 148655 156585 166951 226413 267579 327041 377355 445965 469755 500853 834755 981123 1132065 1337895 1502559 1635205 1836461 2170363 2504265 2943369 4905615 5509383 6511089 7512795 9182305 10851815 14716845 16528149 19533267 23873993 27546915 32555445 71621979 82640745 97666335 119369965 214865937 358109895 1074329685