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30434352 = 243131719151
BaseRepresentation
bin111010000011…
…0010000110000
32010021020002020
41310012100300
530242344402
63004151440
7516454614
oct164062060
963236066
1030434352
11161a7863
12a238580
1363c78c0
144083344
152a128bc
hex1d06430

30434352 has 160 divisors (see below), whose sum is σ = 94993920. Its totient is φ = 8294400.

The previous prime is 30434347. The next prime is 30434353. The reversal of 30434352 is 25343403.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (30434353) 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, 201477 + ... + 201627.

It is an arithmetic number, because the mean of its divisors is an integer number (593712).

Almost surely, 230434352 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 30434352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47496960).

30434352 is an abundant number, since it is smaller than the sum of its proper divisors (64559568).

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

30434352 is a wasteful number, since it uses less digits than its factorization.

30434352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 30434352 is about 5516.7338163083. The cubic root of 30434352 is about 312.2156628594.

Adding to 30434352 its reverse (25343403), we get a palindrome (55777755).

The spelling of 30434352 in words is "thirty million, four hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 19 24 26 34 38 39 48 51 52 57 68 76 78 102 104 114 136 151 152 156 204 208 221 228 247 272 302 304 312 323 408 442 453 456 494 604 624 646 663 741 816 884 906 912 969 988 1208 1292 1326 1482 1768 1812 1938 1963 1976 2416 2567 2584 2652 2869 2964 3536 3624 3876 3926 3952 4199 5134 5168 5304 5738 5889 5928 7248 7701 7752 7852 8398 8607 10268 10608 11476 11778 11856 12597 15402 15504 15704 16796 17214 20536 22952 23556 25194 30804 31408 33371 33592 34428 37297 41072 45904 47112 48773 50388 61608 66742 67184 68856 74594 94224 97546 100113 100776 111891 123216 133484 137712 146319 149188 195092 200226 201552 223782 266968 292638 298376 390184 400452 447564 533936 585276 596752 634049 780368 800904 895128 1170552 1268098 1601808 1790256 1902147 2341104 2536196 3804294 5072392 7608588 10144784 15217176 30434352