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764230350 = 2352131920627
BaseRepresentation
bin101101100011010…
…011101011001110
31222021000220221210
4231203103223032
53031120332400
6203500035250
724636564552
oct5543235316
91867026853
10764230350
1136242a634
12193b32b26
13c243aa10
14736d7862
154715d950
hex2d8d3ace

764230350 has 96 divisors (see below), whose sum is σ = 2148612480. Its totient is φ = 178208640.

The previous prime is 764230349. The next prime is 764230351. The reversal of 764230350 is 53032467.

It is an interprime number because it is at equal distance from previous prime (764230349) and next prime (764230351).

It is a super-2 number, since 2×7642303502 = 1168096055722245000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764230351) 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 47 ways as a sum of consecutive naturals, for example, 26737 + ... + 47363.

It is an arithmetic number, because the mean of its divisors is an integer number (22381380).

Almost surely, 2764230350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 764230350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074306240).

764230350 is an abundant number, since it is smaller than the sum of its proper divisors (1384382130).

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

764230350 is a wasteful number, since it uses less digits than its factorization.

764230350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20674 (or 20669 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 764230350 is about 27644.7164933916. The cubic root of 764230350 is about 914.2706122529.

The spelling of 764230350 in words is "seven hundred sixty-four million, two hundred thirty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 19 25 26 30 38 39 50 57 65 75 78 95 114 130 150 190 195 247 285 325 390 475 494 570 650 741 950 975 1235 1425 1482 1950 2470 2850 3705 6175 7410 12350 18525 20627 37050 41254 61881 103135 123762 206270 268151 309405 391913 515675 536302 618810 783826 804453 1031350 1175739 1340755 1547025 1608906 1959565 2351478 2681510 3094050 3919130 4022265 5094869 5878695 6703775 8044530 9797825 10189738 11757390 13407550 15284607 19595650 20111325 25474345 29393475 30569214 40222650 50948690 58786950 76423035 127371725 152846070 254743450 382115175 764230350