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319686430 = 257232941167
BaseRepresentation
bin10011000011100…
…000011100011110
3211021112202100011
4103003200130132
51123314431210
651415553434
710631201260
oct2303403436
9737482304
10319686430
11154500168
128b08b87a
135130158b
1430659b30
151d0ebd8a
hex130e071e

319686430 has 128 divisors (see below), whose sum is σ = 731566080. Its totient is φ = 98165760.

The previous prime is 319686403. The next prime is 319686449. The reversal of 319686430 is 34686913.

It is a super-2 number, since 2×3196864302 = 204398827052289800, which contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1914207 + ... + 1914373.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2319686430 is an apocalyptic number.

319686430 is an abundant number, since it is smaller than the sum of its proper divisors (411879650).

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

319686430 is a wasteful number, since it uses less digits than its factorization.

319686430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274.

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 319686430 is about 17879.7771238906. Note that the first 3 decimals coincide. The cubic root of 319686430 is about 683.7668901732.

The spelling of 319686430 in words is "three hundred nineteen million, six hundred eighty-six thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 23 29 35 41 46 58 70 82 115 145 161 167 203 205 230 287 290 322 334 406 410 574 667 805 835 943 1015 1169 1189 1334 1435 1610 1670 1886 2030 2338 2378 2870 3335 3841 4669 4715 4843 5845 5945 6601 6670 6847 7682 8323 9338 9430 9686 11690 11890 13202 13694 16646 19205 23345 24215 26887 27347 33005 33901 34235 38410 41615 46690 47929 48430 53774 54694 66010 67802 68470 83230 95858 111389 134435 136735 157481 169505 191429 198563 222778 239645 268870 273470 314962 339010 382858 397126 479290 556945 779723 787405 957145 992815 1102367 1113890 1389941 1559446 1574810 1914290 1985630 2204734 2779882 3898615 4566949 5511835 6949705 7797230 9133898 11023670 13899410 22834745 31968643 45669490 63937286 159843215 319686430