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64964340 = 223257471097
BaseRepresentation
bin1111011111010…
…0011011110100
311112020112022200
43313310123310
5113112324330
610240224500
71416121260
oct367643364
9145215280
1064964340
1133741741
121990b130
13105c774c
1488b10a0
155a83a60
hex3df46f4

64964340 has 144 divisors (see below), whose sum is σ = 230211072. Its totient is φ = 14519808.

The previous prime is 64964309. The next prime is 64964353. The reversal of 64964340 is 4346946.

64964340 is a `hidden beast` number, since 6 + 4 + 9 + 643 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64964295 and 64964304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58672 + ... + 59768.

It is an arithmetic number, because the mean of its divisors is an integer number (1598688).

Almost surely, 264964340 is an apocalyptic number.

64964340 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 64964340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115105536).

64964340 is an abundant number, since it is smaller than the sum of its proper divisors (165246732).

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

64964340 is a wasteful number, since it uses less digits than its factorization.

64964340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 64964340 is about 8060.0459055765. The cubic root of 64964340 is about 401.9990346750. Note that the first 3 decimals are identical.

The spelling of 64964340 in words is "sixty-four million, nine hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 47 60 63 70 84 90 94 105 126 140 141 180 188 210 235 252 282 315 329 420 423 470 564 630 658 705 846 940 987 1097 1260 1316 1410 1645 1692 1974 2115 2194 2820 2961 3290 3291 3948 4230 4388 4935 5485 5922 6580 6582 7679 8460 9870 9873 10970 11844 13164 14805 15358 16455 19740 19746 21940 23037 29610 30716 32910 38395 39492 46074 49365 51559 59220 65820 69111 76790 92148 98730 103118 115185 138222 153580 154677 197460 206236 230370 257795 276444 309354 345555 360913 460740 464031 515590 618708 691110 721826 773385 928062 1031180 1082739 1382220 1443652 1546770 1804565 1856124 2165478 2320155 3093540 3248217 3609130 4330956 4640310 5413695 6496434 7218260 9280620 10827390 12992868 16241085 21654780 32482170 64964340