Search a number
-
+
307514232 = 23342347439
BaseRepresentation
bin10010010101000…
…100101101111000
3210102122100020000
4102111010231320
51112210423412
650303033000
710422553644
oct2225045570
9712570200
10307514232
11148646aa3
1286b9b760
134b92c0ac
142cbabc24
151bee54dc
hex12544b78

307514232 has 160 divisors (see below), whose sum is σ = 919987200. Its totient is φ = 95743296.

The previous prime is 307514213. The next prime is 307514243. The reversal of 307514232 is 232415703.

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

It is a junction number, because it is equal to n+sod(n) for n = 307514196 and 307514205.

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 39 ways as a sum of consecutive naturals, for example, 700269 + ... + 700707.

It is an arithmetic number, because the mean of its divisors is an integer number (5749920).

Almost surely, 2307514232 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 307514232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459993600).

307514232 is an abundant number, since it is smaller than the sum of its proper divisors (612472968).

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

307514232 is a wasteful number, since it uses less digits than its factorization.

307514232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 307514232 is about 17536.0837133038. The cubic root of 307514232 is about 674.9761176735.

Adding to 307514232 its reverse (232415703), we get a palindrome (539929935).

The spelling of 307514232 in words is "three hundred seven million, five hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 47 54 69 72 81 92 94 108 138 141 162 184 188 207 216 276 282 324 376 414 423 439 552 564 621 648 828 846 878 1081 1128 1242 1269 1317 1656 1692 1756 1863 2162 2484 2538 2634 3243 3384 3512 3726 3807 3951 4324 4968 5076 5268 6486 7452 7614 7902 8648 9729 10097 10152 10536 11853 12972 14904 15228 15804 19458 20194 20633 23706 25944 29187 30291 30456 31608 35559 38916 40388 41266 47412 58374 60582 61899 71118 77832 80776 82532 87561 90873 94824 116748 121164 123798 142236 165064 175122 181746 185697 233496 242328 247596 272619 284472 350244 363492 371394 474559 495192 545238 557091 700488 726984 742788 817857 949118 1090476 1114182 1423677 1485576 1635714 1671273 1898236 2180952 2228364 2847354 3271428 3342546 3796472 4271031 4456728 5694708 6542856 6685092 8542062 11389416 12813093 13370184 17084124 25626186 34168248 38439279 51252372 76878558 102504744 153757116 307514232