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1034525040 = 24354798999
BaseRepresentation
bin111101101010011…
…001100101110000
32200002122022120020
4331222121211300
54104314300130
6250353243440
734431213663
oct7552314560
92602568506
101034525040
11490a64a7a
1224a563580
131364379c3
149b5776da
1560c50e10
hex3da99970

1034525040 has 80 divisors (see below), whose sum is σ = 3214080000. Its totient is φ = 275266816.

The previous prime is 1034525039. The next prime is 1034525101. The reversal of 1034525040 is 405254301.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1034525040.

It is a congruent number.

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, 110461 + ... + 119459.

It is an arithmetic number, because the mean of its divisors is an integer number (40176000).

Almost surely, 21034525040 is an apocalyptic number.

1034525040 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 1034525040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607040000).

1034525040 is an abundant number, since it is smaller than the sum of its proper divisors (2179554960).

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

1034525040 is a wasteful number, since it uses less digits than its factorization.

1034525040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9494 (or 9488 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1034525040 is about 32164.0333291706. The cubic root of 1034525040 is about 1011.3783879106.

Adding to 1034525040 its reverse (405254301), we get a palindrome (1439779341).

The spelling of 1034525040 in words is "one billion, thirty-four million, five hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 479 958 1437 1916 2395 2874 3832 4790 5748 7185 7664 8999 9580 11496 14370 17998 19160 22992 26997 28740 35996 38320 44995 53994 57480 71992 89990 107988 114960 134985 143984 179980 215976 269970 359960 431952 539940 719920 1079880 2159760 4310521 8621042 12931563 17242084 21552605 25863126 34484168 43105210 51726252 64657815 68968336 86210420 103452504 129315630 172420840 206905008 258631260 344841680 517262520 1034525040