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64474368 = 283767179
BaseRepresentation
bin1111010111110…
…0110100000000
311111022122012120
43311330310000
5113001134433
610221524240
71412010630
oct365746400
9144278176
1064474368
1133437602
1219713680
131048571a
1487c46c0
1559d87b3
hex3d7cd00

64474368 has 144 divisors (see below), whose sum is σ = 200148480. Its totient is φ = 18044928.

The previous prime is 64474367. The next prime is 64474369. The reversal of 64474368 is 86347446.

64474368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64474367) and next prime (64474369).

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64474363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 360103 + ... + 360281.

It is an arithmetic number, because the mean of its divisors is an integer number (1389920).

Almost surely, 264474368 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 64474368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100074240).

64474368 is an abundant number, since it is smaller than the sum of its proper divisors (135674112).

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

64474368 is a wasteful number, since it uses less digits than its factorization.

64474368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 64474368 is about 8029.5932649170. The cubic root of 64474368 is about 400.9858349940.

The spelling of 64474368 in words is "sixty-four million, four hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 67 84 96 112 128 134 168 179 192 201 224 256 268 336 358 384 402 448 469 536 537 672 716 768 804 896 938 1072 1074 1253 1344 1407 1432 1608 1792 1876 2144 2148 2506 2688 2814 2864 3216 3752 3759 4288 4296 5012 5376 5628 5728 6432 7504 7518 8576 8592 10024 11256 11456 11993 12864 15008 15036 17152 17184 20048 22512 22912 23986 25728 30016 30072 34368 35979 40096 45024 45824 47972 51456 60032 60144 68736 71958 80192 83951 90048 95944 120064 120288 137472 143916 160384 167902 180096 191888 240576 251853 287832 320768 335804 360192 383776 481152 503706 575664 671608 767552 962304 1007412 1151328 1343216 1535104 2014824 2302656 2686432 3070208 4029648 4605312 5372864 8059296 9210624 10745728 16118592 21491456 32237184 64474368