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1034104014 = 232315693257
BaseRepresentation
bin111101101000110…
…010110011001110
32200001211221000200
4331220302303032
54104212312024
6250340234330
734424511336
oct7550626316
92601757020
101034104014
114907a7719
1224a39b9a6
1313631b188
149b4a80c6
1560bbb2c9
hex3da32cce

1034104014 has 48 divisors (see below), whose sum is σ = 2317610880. Its totient is φ = 332893440.

The previous prime is 1034104003. The next prime is 1034104031. The reversal of 1034104014 is 4104014301.

It is a super-2 number, since 2×10341040142 = 2138742223541824392, which contains 22 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 315874 + ... + 319130.

It is an arithmetic number, because the mean of its divisors is an integer number (48283560).

Almost surely, 21034104014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034104014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158805440).

1034104014 is an abundant number, since it is smaller than the sum of its proper divisors (1283506866).

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

1034104014 is a wasteful number, since it uses less digits than its factorization.

1034104014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1034104014 is about 32157.4876817204. The cubic root of 1034104014 is about 1011.2411673313.

Adding to 1034104014 its reverse (4104014301), we get a palindrome (5138118315).

The spelling of 1034104014 in words is "one billion, thirty-four million, one hundred four thousand, fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 569 1138 1707 3257 3414 5121 6514 9771 10242 17639 19542 29313 35278 52917 58626 100967 105834 158751 201934 302901 317502 605802 908703 1817406 1853233 3706466 5559699 11119398 16679097 33358194 57450223 114900446 172350669 344701338 517052007 1034104014