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1040402034 = 232779127823
BaseRepresentation
bin111110000000110…
…100011001110010
32200111200220021200
4332000310121302
54112320331114
6251123232030
734532162040
oct7600643162
92614626250
101040402034
114943094a1
12250518616
13137714a09
149c267390
1561512409
hex3e034672

1040402034 has 96 divisors (see below), whose sum is σ = 2632581120. Its totient is φ = 290830176.

The previous prime is 1040402029. The next prime is 1040402039. The reversal of 1040402034 is 4302040401.

It is an interprime number because it is at equal distance from previous prime (1040402029) and next prime (1040402039).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1040401998 and 1040402016.

It is not an unprimeable number, because it can be changed into a prime (1040402039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1263747 + ... + 1264569.

It is an arithmetic number, because the mean of its divisors is an integer number (27422720).

Almost surely, 21040402034 is an apocalyptic number.

1040402034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040402034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316290560).

1040402034 is an abundant number, since it is smaller than the sum of its proper divisors (1592179086).

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

1040402034 is a wasteful number, since it uses less digits than its factorization.

1040402034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1040402034 is about 32255.2636634705. The cubic root of 1040402034 is about 1013.2899397344.

Adding to 1040402034 its reverse (4302040401), we get a palindrome (5342442435).

The spelling of 1040402034 in words is "one billion, forty million, four hundred two thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 127 158 237 254 381 474 553 711 762 823 889 1106 1143 1422 1646 1659 1778 2286 2469 2667 3318 4938 4977 5334 5761 7407 8001 9954 10033 11522 14814 16002 17283 20066 30099 34566 51849 60198 65017 70231 90297 103698 104521 130034 140462 180594 195051 209042 210693 313563 390102 421386 455119 585153 627126 632079 731647 910238 940689 1170306 1264158 1365357 1463294 1881378 2194941 2730714 4096071 4389882 6584823 8192142 8257159 13169646 16514318 24771477 49542954 57800113 74314431 115600226 148628862 173400339 346800678 520201017 1040402034