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64334820 = 223511107911
BaseRepresentation
bin1111010101101…
…0101111100100
311111001112210010
43311122233210
5112432203240
610214530220
71410560034
oct365325744
9144045703
1064334820
1133351780
1219666970
1310437054
1487898c4
1559ac280
hex3d5abe4

64334820 has 96 divisors (see below), whose sum is σ = 198567936. Its totient is φ = 15433600.

The previous prime is 64334819. The next prime is 64334843. The reversal of 64334820 is 2843346.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70165 + ... + 71075.

It is an arithmetic number, because the mean of its divisors is an integer number (2068416).

Almost surely, 264334820 is an apocalyptic number.

64334820 is a gapful number since it is divisible by the number (60) 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 64334820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99283968).

64334820 is an abundant number, since it is smaller than the sum of its proper divisors (134233116).

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

64334820 is a wasteful number, since it uses less digits than its factorization.

64334820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 64334820 is about 8020.8989521125. The cubic root of 64334820 is about 400.6963287788.

The spelling of 64334820 in words is "sixty-four million, three hundred thirty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 107 110 132 165 214 220 321 330 428 535 642 660 911 1070 1177 1284 1605 1822 2140 2354 2733 3210 3531 3644 4555 4708 5466 5885 6420 7062 9110 10021 10932 11770 13665 14124 17655 18220 20042 23540 27330 30063 35310 40084 50105 54660 60126 70620 97477 100210 120252 150315 194954 200420 292431 300630 389908 487385 584862 601260 974770 1072247 1169724 1462155 1949540 2144494 2924310 3216741 4288988 5361235 5848620 6433482 10722470 12866964 16083705 21444940 32167410 64334820