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1034005240 = 235411913301
BaseRepresentation
bin111101101000011…
…010101011111000
32200001122220112101
4331220122223320
54104201131430
6250334153144
734423620352
oct7550325370
92601586471
101034005240
1149073a494
1224a3527b4
131362b5228
149b4800d2
1560b9bdca
hex3da1aaf8

1034005240 has 64 divisors (see below), whose sum is σ = 2396459520. Its totient is φ = 401280000.

The previous prime is 1034005207. The next prime is 1034005241. The reversal of 1034005240 is 425004301.

It is a super-3 number, since 3×10340052403 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034005241) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 311590 + ... + 314890.

It is an arithmetic number, because the mean of its divisors is an integer number (37444680).

Almost surely, 21034005240 is an apocalyptic number.

1034005240 is a gapful number since it is divisible by the number (10) 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 1034005240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198229760).

1034005240 is an abundant number, since it is smaller than the sum of its proper divisors (1362454280).

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

1034005240 is a wasteful number, since it uses less digits than its factorization.

1034005240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544 (or 3540 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 1034005240 is about 32155.9518596480. The cubic root of 1034005240 is about 1011.2089695659.

Adding to 1034005240 its reverse (425004301), we get a palindrome (1459009541).

The spelling of 1034005240 in words is "one billion, thirty-four million, five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 191 205 328 382 410 764 820 955 1528 1640 1910 3301 3820 6602 7640 7831 13204 15662 16505 26408 31324 33010 39155 62648 66020 78310 132040 135341 156620 270682 313240 541364 630491 676705 1082728 1260982 1353410 2521964 2706820 3152455 5043928 5413640 6304910 12609820 25219640 25850131 51700262 103400524 129250655 206801048 258501310 517002620 1034005240