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1034241040 = 2457337691
BaseRepresentation
bin111101101001010…
…100010000010000
32200002002212222201
4331221110100100
54104231203130
6250343212544
734425622000
oct7551242020
92602085881
101034241040
11490890668
1224a447154
13136368661
149b502000
1560be6bca
hex3da54410

1034241040 has 80 divisors (see below), whose sum is σ = 2804284800. Its totient is φ = 354587520.

The previous prime is 1034241029. The next prime is 1034241073. The reversal of 1034241040 is 401424301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1034240999 and 1034241017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8595 + ... + 46285.

It is an arithmetic number, because the mean of its divisors is an integer number (35053560).

Almost surely, 21034241040 is an apocalyptic number.

1034241040 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 1034241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402142400).

1034241040 is an abundant number, since it is smaller than the sum of its proper divisors (1770043760).

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

1034241040 is an equidigital number, since it uses as much as digits as its factorization.

1034241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37725 (or 37705 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1034241040 is about 32159.6181569371. The cubic root of 1034241040 is about 1011.2858308631.

Adding to 1034241040 its reverse (401424301), we get a palindrome (1435665341).

The spelling of 1034241040 in words is "one billion, thirty-four million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1715 1960 2744 3430 3920 5488 6860 13720 27440 37691 75382 150764 188455 263837 301528 376910 527674 603056 753820 1055348 1319185 1507640 1846859 2110696 2638370 3015280 3693718 4221392 5276740 7387436 9234295 10553480 12928013 14774872 18468590 21106960 25856026 29549744 36937180 51712052 64640065 73874360 103424104 129280130 147748720 206848208 258560260 517120520 1034241040