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80434200 = 233527111741
BaseRepresentation
bin1001100101101…
…01010000011000
312121100110222110
410302311100120
5131042343300
611551552320
71664452020
oct462652030
9177313873
1080434200
1141448450
1222b2b6a0
1313882c02
14a97aa80
1570dc550
hex4cb5418

80434200 has 192 divisors, whose sum is σ = 311051520. Its totient is φ = 16704000.

The previous prime is 80434141. The next prime is 80434271. The reversal of 80434200 is 243408.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45330 + ... + 47070.

It is an arithmetic number, because the mean of its divisors is an integer number (1620060).

Almost surely, 280434200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80434200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155525760).

80434200 is an abundant number, since it is smaller than the sum of its proper divisors (230617320).

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

80434200 is a wasteful number, since it uses less digits than its factorization.

80434200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 80434200 is about 8968.5115821969. The cubic root of 80434200 is about 431.6650781998.

Adding to 80434200 its reverse (243408), we get a palindrome (80677608).

The spelling of 80434200 in words is "eighty million, four hundred thirty-four thousand, two hundred".