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832434330 = 235713734177
BaseRepresentation
bin110001100111011…
…111000010011010
32011000101001020010
4301213133002122
53201100344310
6214333542350
726425401150
oct6147370232
92130331203
10832434330
11397984262
121b29449b6
131035cabc0
147c7ad3d0
154d132320
hex319df09a

832434330 has 128 divisors (see below), whose sum is σ = 2493163008. Its totient is φ = 173187072.

The previous prime is 832434329. The next prime is 832434353. The reversal of 832434330 is 33434238.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197202 + ... + 201378.

It is an arithmetic number, because the mean of its divisors is an integer number (19477836).

Almost surely, 2832434330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 832434330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246581504).

832434330 is an abundant number, since it is smaller than the sum of its proper divisors (1660728678).

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

832434330 is a wasteful number, since it uses less digits than its factorization.

832434330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280.

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 832434330 is about 28851.9380631527. The cubic root of 832434330 is about 940.6975093090.

Adding to 832434330 its reverse (33434238), we get a palindrome (865868568).

The spelling of 832434330 in words is "eight hundred thirty-two million, four hundred thirty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 73 78 91 105 130 146 182 195 210 219 273 365 390 438 455 511 546 730 910 949 1022 1095 1365 1533 1898 2190 2555 2730 2847 3066 4177 4745 5110 5694 6643 7665 8354 9490 12531 13286 14235 15330 19929 20885 25062 28470 29239 33215 39858 41770 54301 58478 62655 66430 87717 99645 108602 125310 146195 162903 175434 199290 271505 292390 304921 325806 380107 438585 543010 609842 760214 814515 877170 914763 1140321 1524605 1629030 1829526 1900535 2134447 2280642 3049210 3801070 3963973 4268894 4573815 5701605 6403341 7927946 9147630 10672235 11403210 11891919 12806682 19819865 21344470 23783838 27747811 32016705 39639730 55495622 59459595 64033410 83243433 118919190 138739055 166486866 277478110 416217165 832434330