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66348240 = 2435773541
BaseRepresentation
bin1111110100011…
…0010011010000
311121211211200020
43331012103100
5113441120430
610330023440
71433644050
oct375062320
9147754606
1066348240
11344a7462
121a277b80
131099061a
148b51560
155c58b10
hex3f464d0

66348240 has 160 divisors (see below), whose sum is σ = 238722816. Its totient is φ = 14929920.

The previous prime is 66348203. The next prime is 66348253. The reversal of 66348240 is 4284366.

66348240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 122370 + ... + 122910.

Almost surely, 266348240 is an apocalyptic number.

66348240 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 66348240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119361408).

66348240 is an abundant number, since it is smaller than the sum of its proper divisors (172374576).

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

66348240 is a wasteful number, since it uses less digits than its factorization.

66348240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 66348240 is about 8145.4428977189. The cubic root of 66348240 is about 404.8335240193.

The spelling of 66348240 in words is "sixty-six million, three hundred forty-eight 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 73 80 84 105 112 120 140 146 168 210 219 240 280 292 336 365 420 438 511 541 560 584 730 840 876 1022 1082 1095 1168 1460 1533 1623 1680 1752 2044 2164 2190 2555 2705 2920 3066 3246 3504 3787 4088 4328 4380 5110 5410 5840 6132 6492 7574 7665 8115 8176 8656 8760 10220 10820 11361 12264 12984 15148 15330 16230 17520 18935 20440 21640 22722 24528 25968 30296 30660 32460 37870 39493 40880 43280 45444 56805 60592 61320 64920 75740 78986 90888 113610 118479 122640 129840 151480 157972 181776 197465 227220 236958 276451 302960 315944 394930 454440 473916 552902 592395 631888 789860 829353 908880 947832 1105804 1184790 1382255 1579720 1658706 1895664 2211608 2369580 2764510 3159440 3317412 4146765 4423216 4739160 5529020 6634824 8293530 9478320 11058040 13269648 16587060 22116080 33174120 66348240