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73241040 = 24354347151
BaseRepresentation
bin1000101110110…
…01000111010000
312002211000211010
410113121013100
5122222203130
611133450520
71546352505
oct427310720
9162730733
1073241040
1138385094
1220640a40
1312234ac2
149a274ac
15666b0b0
hex45d91d0

73241040 has 160 divisors (see below), whose sum is σ = 238841856. Its totient is φ = 18547200.

The previous prime is 73241009. The next prime is 73241041. The reversal of 73241040 is 4014237.

It is a super-3 number, since 3×732410403 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73240998 and 73241016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73241041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484965 + ... + 485115.

Almost surely, 273241040 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 73241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119420928).

73241040 is an abundant number, since it is smaller than the sum of its proper divisors (165600816).

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

73241040 is a wasteful number, since it uses less digits than its factorization.

73241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 73241040 is about 8558.0979195146. The cubic root of 73241040 is about 418.3934087608.

Adding to 73241040 its reverse (4014237), we get a palindrome (77255277).

The spelling of 73241040 in words is "seventy-three million, two hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 47 48 60 80 86 94 120 129 141 151 172 188 215 235 240 258 282 302 344 376 430 453 470 516 564 604 645 688 705 752 755 860 906 940 1032 1128 1208 1290 1410 1510 1720 1812 1880 2021 2064 2256 2265 2416 2580 2820 3020 3440 3624 3760 4042 4530 5160 5640 6040 6063 6493 7097 7248 8084 9060 10105 10320 11280 12080 12126 12986 14194 16168 18120 19479 20210 21291 24252 25972 28388 30315 32336 32465 35485 36240 38958 40420 42582 48504 51944 56776 60630 64930 70970 77916 80840 85164 97008 97395 103888 106455 113552 121260 129860 141940 155832 161680 170328 194790 212910 242520 259720 283880 305171 311664 340656 389580 425820 485040 519440 567760 610342 779160 851640 915513 1220684 1525855 1558320 1703280 1831026 2441368 3051710 3662052 4577565 4882736 6103420 7324104 9155130 12206840 14648208 18310260 24413680 36620520 73241040