Search a number
-
+
64231380 = 22345311279
BaseRepresentation
bin1111010100000…
…1011111010100
311110212021220000
43311001133110
5112420401010
610212411300
71406646333
oct365013724
9143767800
1064231380
1133290a94
1219616b30
13103cbc45
14875dd1a
15598b7c0
hex3d417d4

64231380 has 120 divisors (see below), whose sum is σ = 208158720. Its totient is φ = 16562880.

The previous prime is 64231361. The next prime is 64231399. The reversal of 64231380 is 8313246.

It is a happy number.

64231380 is a `hidden beast` number, since 642 + 3 + 13 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64231361) and next prime (64231399).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49581 + ... + 50859.

It is an arithmetic number, because the mean of its divisors is an integer number (1734656).

Almost surely, 264231380 is an apocalyptic number.

64231380 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 64231380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104079360).

64231380 is an abundant number, since it is smaller than the sum of its proper divisors (143927340).

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

64231380 is a wasteful number, since it uses less digits than its factorization.

64231380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 64231380 is about 8014.4482030892. The cubic root of 64231380 is about 400.4814619202.

The spelling of 64231380 in words is "sixty-four million, two hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 465 540 558 620 810 837 930 1116 1279 1395 1620 1674 1860 2511 2558 2790 3348 3837 4185 5022 5116 5580 6395 7674 8370 10044 11511 12555 12790 15348 16740 19185 23022 25110 25580 34533 38370 39649 46044 50220 57555 69066 76740 79298 103599 115110 118947 138132 158596 172665 198245 207198 230220 237894 345330 356841 396490 414396 475788 517995 594735 690660 713682 792980 1035990 1070523 1189470 1427364 1784205 2071980 2141046 2378940 3211569 3568410 4282092 5352615 6423138 7136820 10705230 12846276 16057845 21410460 32115690 64231380