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1040010354 = 23929911
BaseRepresentation
bin111101111111010…
…100110001110010
32200110222000000000
4331333110301302
54112220312404
6251111010430
734525641105
oct7577246162
92613860000
101040010354
11494071199
12250369a16
13137608656
149c1a473c
1561486339
hex3dfd4c72

1040010354 has 80 divisors (see below), whose sum is σ = 2423329920. Its totient is φ = 334348560.

The previous prime is 1040010337. The next prime is 1040010359. The reversal of 1040010354 is 4530100401.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1040010359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1141159 + ... + 1142069.

It is an arithmetic number, because the mean of its divisors is an integer number (30291624).

Almost surely, 21040010354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040010354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211664960).

1040010354 is an abundant number, since it is smaller than the sum of its proper divisors (1383319566).

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

1040010354 is an frugal number, since it uses more digits than its factorization.

1040010354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 945 counting only the distinct ones).

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

The square root of 1040010354 is about 32249.1915247499. The cubic root of 1040010354 is about 1013.1627660694.

Adding to 1040010354 its reverse (4530100401), we get a palindrome (5570110755).

The spelling of 1040010354 in words is "one billion, forty million, ten thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 243 261 486 522 729 783 911 1458 1566 1822 2187 2349 2733 4374 4698 5466 6561 7047 8199 13122 14094 16398 19683 21141 24597 26419 39366 42282 49194 52838 63423 73791 79257 126846 147582 158514 190269 221373 237771 380538 442746 475542 570807 664119 713313 1141614 1328238 1426626 1992357 2139939 3984714 4279878 5977071 6419817 11954142 12839634 17931213 19259451 35862426 38518902 57778353 115556706 173335059 346670118 520005177 1040010354