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730242040 = 2351129151379
BaseRepresentation
bin101011100001101…
…001101111111000
31212220002010202111
4223201221233320
52443420221130
6200243342104
724044645353
oct5341515770
91786063674
10730242040
11345225720
12184681934
13b839a5a8
146cdab29a
154419802a
hex2b869bf8

730242040 has 128 divisors (see below), whose sum is σ = 1871424000. Its totient is φ = 254016000.

The previous prime is 730242017. The next prime is 730242049. The reversal of 730242040 is 40242037.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730242049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1926571 + ... + 1926949.

It is an arithmetic number, because the mean of its divisors is an integer number (14620500).

Almost surely, 2730242040 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 730242040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935712000).

730242040 is an abundant number, since it is smaller than the sum of its proper divisors (1141181960).

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

730242040 is a wasteful number, since it uses less digits than its factorization.

730242040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 730242040 is about 27022.9909521504. The cubic root of 730242040 is about 900.5108375671.

Adding to 730242040 its reverse (40242037), we get a palindrome (770484077).

The spelling of 730242040 in words is "seven hundred thirty million, two hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 151 220 232 290 302 319 379 440 580 604 638 755 758 1160 1208 1276 1510 1516 1595 1661 1895 2552 3020 3032 3190 3322 3790 4169 4379 6040 6380 6644 7580 8305 8338 8758 10991 12760 13288 15160 16610 16676 17516 20845 21895 21982 33220 33352 35032 41690 43790 43964 48169 54955 57229 66440 83380 87580 87928 96338 109910 114458 120901 166760 175160 192676 219820 228916 240845 241802 286145 385352 439640 457832 481690 483604 572290 604505 629519 963380 967208 1144580 1209010 1259038 1659641 1926760 2289160 2418020 2518076 3147595 3319282 4836040 5036152 6295190 6638564 8298205 12590380 13277128 16596410 18256051 25180760 33192820 36512102 66385640 73024204 91280255 146048408 182560510 365121020 730242040