Search a number
-
+
730414152 = 233313467557
BaseRepresentation
bin101011100010010…
…011110001001000
31212220101212212000
4223202103301020
52443441223102
6200251151000
724046263216
oct5342236110
91786355760
10730414152
11345332a66
12184745460
13b842aa30
146d013cb6
15441ce01c
hex2b893c48

730414152 has 128 divisors (see below), whose sum is σ = 2193609600. Its totient is φ = 223858944.

The previous prime is 730414141. The next prime is 730414187. The reversal of 730414152 is 251414037.

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

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, 1311058 + ... + 1311614.

It is an arithmetic number, because the mean of its divisors is an integer number (17137575).

Almost surely, 2730414152 is an apocalyptic number.

730414152 is a gapful number since it is divisible by the number (72) 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 730414152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096804800).

730414152 is an abundant number, since it is smaller than the sum of its proper divisors (1463195448).

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

730414152 is a wasteful number, since it uses less digits than its factorization.

730414152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 730414152 is about 27026.1753120933. The cubic root of 730414152 is about 900.5815796581.

Adding to 730414152 its reverse (251414037), we get a palindrome (981828189).

The spelling of 730414152 in words is "seven hundred thirty million, four hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 467 468 557 702 934 936 1114 1401 1404 1671 1868 2228 2802 2808 3342 3736 4203 4456 5013 5604 6071 6684 7241 8406 10026 11208 12142 12609 13368 14482 15039 16812 18213 20052 21723 24284 25218 28964 30078 33624 36426 40104 43446 48568 50436 54639 57928 60156 65169 72852 86892 100872 109278 120312 130338 145704 163917 173784 195507 218556 260119 260676 327834 391014 437112 520238 521352 655668 780357 782028 1040476 1311336 1560714 1564056 2080952 2341071 3121428 3381547 4682142 6242856 6763094 7023213 9364284 10144641 13526188 14046426 18728568 20289282 27052376 28092852 30433923 40578564 56185704 60867846 81157128 91301769 121735692 182603538 243471384 365207076 730414152