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1040351004 = 22327111919753
BaseRepresentation
bin111110000000100…
…111111100011100
32200111121022021200
4332000213330130
54112312213004
6251122155500
734531560210
oct7600477434
92614538250
101040351004
11494284120
122504b2b90
131376c7714
149c252940
1561502239
hex3e027f1c

1040351004 has 144 divisors (see below), whose sum is σ = 3451418880. Its totient is φ = 255985920.

The previous prime is 1040351003. The next prime is 1040351021. The reversal of 1040351004 is 4001530401.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040351003) 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, 42792 + ... + 62544.

Almost surely, 21040351004 is an apocalyptic number.

1040351004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040351004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725709440).

1040351004 is an abundant number, since it is smaller than the sum of its proper divisors (2411067876).

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

1040351004 is a wasteful number, since it uses less digits than its factorization.

1040351004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19800 (or 19795 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1040351004 is about 32254.4726200879. The cubic root of 1040351004 is about 1013.2733727313.

Adding to 1040351004 its reverse (4001530401), we get a palindrome (5041881405).

The spelling of 1040351004 in words is "one billion, forty million, three hundred fifty-one thousand, four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 19 21 22 28 33 36 38 42 44 57 63 66 76 77 84 99 114 126 132 133 154 171 198 209 228 231 252 266 308 342 396 399 418 462 532 627 684 693 798 836 924 1197 1254 1386 1463 1596 1881 2394 2508 2772 2926 3762 4389 4788 5852 7524 8778 13167 17556 19753 26334 39506 52668 59259 79012 118518 138271 177777 217283 237036 276542 355554 375307 414813 434566 553084 651849 711108 750614 829626 869132 1125921 1244439 1303698 1501228 1520981 1659252 1955547 2251842 2488878 2607396 2627149 3041962 3377763 3911094 4128377 4503684 4562943 4977756 5254298 6083924 6755526 7822188 7881447 8256754 9125886 10508596 12385131 13511052 13688829 15762894 16513508 18251772 23644341 24770262 27377658 28898639 31525788 37155393 47288682 49540524 54755316 57797278 74310786 86695917 94577364 115594556 148621572 173391834 260087751 346783668 520175502 1040351004