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64342400 = 275220107
BaseRepresentation
bin1111010101110…
…0100110000000
311111001221011212
43311130212000
5112432424100
610215025252
71410621113
oct365344600
9144057155
1064342400
1133357441
121966b228
131043a635
14878c57a
1559ae635
hex3d5c980

64342400 has 48 divisors (see below), whose sum is σ = 158953740. Its totient is φ = 25735680.

The previous prime is 64342393. The next prime is 64342403. The reversal of 64342400 is 424346.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64342403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6854 + ... + 13253.

Almost surely, 264342400 is an apocalyptic number.

It is an amenable number.

64342400 is an abundant number, since it is smaller than the sum of its proper divisors (94611340).

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

64342400 is a wasteful number, since it uses less digits than its factorization.

64342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20131 (or 20114 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 64342400 is about 8021.3714538101. The cubic root of 64342400 is about 400.7120649898.

Adding to 64342400 its reverse (424346), we get a palindrome (64766746).

The spelling of 64342400 in words is "sixty-four million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 20107 40214 80428 100535 160856 201070 321712 402140 502675 643424 804280 1005350 1286848 1608560 2010700 2573696 3217120 4021400 6434240 8042800 12868480 16085600 32171200 64342400