Search a number
-
+
64332240 = 24357149257
BaseRepresentation
bin1111010101101…
…0000111010000
311111001102020120
43311122013100
5112432112430
610214510240
71410546360
oct365320720
9144042216
1064332240
113334a845
1219665380
1310435b1b
1487889a0
1559ab610
hex3d5a1d0

64332240 has 160 divisors (see below), whose sum is σ = 230342400. Its totient is φ = 14548992.

The previous prime is 64332227. The next prime is 64332269. The reversal of 64332240 is 4223346.

It is a happy number.

64332240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 64332240.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 250192 + ... + 250448.

It is an arithmetic number, because the mean of its divisors is an integer number (1439640).

Almost surely, 264332240 is an apocalyptic number.

64332240 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 64332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115171200).

64332240 is an abundant number, since it is smaller than the sum of its proper divisors (166010160).

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

64332240 is a wasteful number, since it uses less digits than its factorization.

64332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 64332240 is about 8020.7381206470. The cubic root of 64332240 is about 400.6909723723.

Adding to 64332240 its reverse (4223346), we get a palindrome (68555586).

The spelling of 64332240 in words is "sixty-four million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 149 168 210 240 257 280 298 336 420 447 514 560 596 745 771 840 894 1028 1043 1192 1285 1490 1542 1680 1788 1799 2056 2086 2235 2384 2570 2980 3084 3129 3576 3598 3855 4112 4172 4470 5140 5215 5397 5960 6168 6258 7152 7196 7710 8344 8940 8995 10280 10430 10794 11920 12336 12516 14392 15420 15645 16688 17880 17990 20560 20860 21588 25032 26985 28784 30840 31290 35760 35980 38293 41720 43176 50064 53970 61680 62580 71960 76586 83440 86352 107940 114879 125160 143920 153172 191465 215880 229758 250320 268051 306344 382930 431760 459516 536102 574395 612688 765860 804153 919032 1072204 1148790 1340255 1531720 1608306 1838064 2144408 2297580 2680510 3063440 3216612 4020765 4288816 4595160 5361020 6433224 8041530 9190320 10722040 12866448 16083060 21444080 32166120 64332240