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1041434200 = 235243831459
BaseRepresentation
bin111110000100110…
…000011001011000
32200120122100011001
4332010300121120
54113101343300
6251201314344
734544021212
oct7604603130
92616570131
101041434200
11494953a24
122509359b4
131379b6771
149c4555b2
156166816a
hex3e130658

1041434200 has 96 divisors (see below), whose sum is σ = 2509214400. Its totient is φ = 401708160.

The previous prime is 1041434189. The next prime is 1041434203. The reversal of 1041434200 is 24341401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041434203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713071 + ... + 714529.

It is an arithmetic number, because the mean of its divisors is an integer number (26137650).

Almost surely, 21041434200 is an apocalyptic number.

1041434200 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 1041434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254607200).

1041434200 is an abundant number, since it is smaller than the sum of its proper divisors (1467780200).

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

1041434200 is a wasteful number, since it uses less digits than its factorization.

1041434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1592 counting only the distinct ones).

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

The square root of 1041434200 is about 32271.2596593316. The cubic root of 1041434200 is about 1013.6249184933.

Adding to 1041434200 its reverse (24341401), we get a palindrome (1065775601).

The spelling of 1041434200 in words is "one billion, forty-one million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 83 86 100 166 172 200 215 332 344 415 430 664 830 860 1075 1459 1660 1720 2075 2150 2918 3320 3569 4150 4300 5836 7138 7295 8300 8600 11672 14276 14590 16600 17845 28552 29180 35690 36475 58360 62737 71380 72950 89225 121097 125474 142760 145900 178450 242194 250948 291800 313685 356900 484388 501896 605485 627370 713800 968776 1210970 1254740 1568425 2421940 2509480 3027425 3136850 4843880 5207171 6054850 6273700 10414342 12109700 12547400 20828684 24219400 26035855 41657368 52071710 104143420 130179275 208286840 260358550 520717100 1041434200