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64340900 = 225213431151
BaseRepresentation
bin1111010101110…
…0001110100100
311111001212010022
43311130032210
5112432402100
610215014312
71410613541
oct365341644
9144055108
1064340900
11333562a8
121966a398
1310439a50
14878bbc8
1559ade85
hex3d5c3a4

64340900 has 72 divisors (see below), whose sum is σ = 153990144. Its totient is φ = 23184000.

The previous prime is 64340893. The next prime is 64340911. The reversal of 64340900 is 904346.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 64340900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55325 + ... + 56475.

It is an arithmetic number, because the mean of its divisors is an integer number (2138752).

Almost surely, 264340900 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 64340900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76995072).

64340900 is an abundant number, since it is smaller than the sum of its proper divisors (89649244).

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

64340900 is a wasteful number, since it uses less digits than its factorization.

64340900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 64340900 is about 8021.2779530446. The cubic root of 64340900 is about 400.7089510620.

The spelling of 64340900 in words is "sixty-four million, three hundred forty thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 43 50 52 65 86 100 130 172 215 260 325 430 559 650 860 1075 1118 1151 1300 2150 2236 2302 2795 4300 4604 5590 5755 11180 11510 13975 14963 23020 27950 28775 29926 49493 55900 57550 59852 74815 98986 115100 149630 197972 247465 299260 374075 494930 643409 748150 989860 1237325 1286818 1496300 2474650 2573636 3217045 4949300 6434090 12868180 16085225 32170450 64340900