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64465380 = 22325727309
BaseRepresentation
bin1111010111101…
…0100111100100
311111022011212200
43311322213210
5113000343010
610221414500
71411642500
oct365724744
9144264780
1064465380
1133430881
121970a430
13104815c5
1487c1300
1559d5cc0
hex3d7a9e4

64465380 has 108 divisors (see below), whose sum is σ = 227501820. Its totient is φ = 14732928.

The previous prime is 64465369. The next prime is 64465381. The reversal of 64465380 is 8356446.

64465380 is a `hidden beast` number, since 644 + 6 + 5 + 3 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25826724 + 38638656 = 5082^2 + 6216^2 .

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64465381) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5166 + ... + 12474.

Almost surely, 264465380 is an apocalyptic number.

64465380 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 64465380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113750910).

64465380 is an abundant number, since it is smaller than the sum of its proper divisors (163036440).

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

64465380 is a wasteful number, since it uses less digits than its factorization.

64465380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7338 (or 7326 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 64465380 is about 8029.0335657537. The cubic root of 64465380 is about 400.9672010868.

The spelling of 64465380 in words is "sixty-four million, four hundred sixty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 7309 8820 14618 21927 29236 36545 43854 51163 65781 73090 87708 102326 109635 131562 146180 153489 204652 219270 255815 263124 306978 328905 358141 438540 460467 511630 613956 657810 716282 767445 920934 1023260 1074423 1315620 1432564 1534890 1790705 1841868 2148846 2302335 3069780 3223269 3581410 4297692 4604670 5372115 6446538 7162820 9209340 10744230 12893076 16116345 21488460 32232690 64465380