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241749036 = 22353171113
BaseRepresentation
bin11100110100011…
…00110000101100
3121211220010100000
432122030300230
5443341432121
635553304300
75663555454
oct1632146054
9554803300
10241749036
111145086a1
1268b65090
133b113c89
142416cd64
1516354526
hexe68cc2c

241749036 has 144 divisors (see below), whose sum is σ = 669247488. Its totient is φ = 76204800.

The previous prime is 241749031. The next prime is 241749047. The reversal of 241749036 is 630947142.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (241749031) 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 47 ways as a sum of consecutive naturals, for example, 2139316 + ... + 2139428.

It is an arithmetic number, because the mean of its divisors is an integer number (4647552).

Almost surely, 2241749036 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 241749036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334623744).

241749036 is an abundant number, since it is smaller than the sum of its proper divisors (427498452).

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

241749036 is a wasteful number, since it uses less digits than its factorization.

241749036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 241749036 is about 15548.2808052852. The cubic root of 241749036 is about 622.9524769506.

The spelling of 241749036 in words is "two hundred forty-one million, seven hundred forty-nine thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 71 81 93 108 113 124 142 162 186 213 226 243 279 284 324 339 372 426 452 486 558 639 678 837 852 972 1017 1116 1278 1356 1674 1917 2034 2201 2511 2556 3051 3348 3503 3834 4068 4402 5022 5751 6102 6603 7006 7533 7668 8023 8804 9153 10044 10509 11502 12204 13206 14012 15066 16046 17253 18306 19809 21018 23004 24069 26412 27459 30132 31527 32092 34506 36612 39618 42036 48138 54918 59427 63054 69012 72207 79236 94581 96276 109836 118854 126108 144414 178281 189162 216621 237708 248713 283743 288828 356562 378324 433242 497426 534843 567486 649863 713124 746139 851229 866484 994852 1069686 1134972 1299726 1492278 1702458 1949589 2139372 2238417 2599452 2984556 3404916 3899178 4476834 6715251 7798356 8953668 13430502 20145753 26861004 40291506 60437259 80583012 120874518 241749036