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4348293750 = 23255233361
BaseRepresentation
bin1000000110010110…
…11011001001110110
3102020001002012122200
410003023123021312
532401130400000
61555251005330
7212516613153
oct40313331166
912201065580
104348293750
1119315534a9
12a14299846
13543b2b0a8
142d36d922a
151a6b23500
hex1032db276

4348293750 has 144 divisors (see below), whose sum is σ = 12291525792. Its totient is φ = 1108800000.

The previous prime is 4348293743. The next prime is 4348293793. The reversal of 4348293750 is 573928434.

4348293750 is a `hidden beast` number, since 434 + 82 + 93 + 7 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 4348293696 and 4348293705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1292070 + ... + 1295430.

It is an arithmetic number, because the mean of its divisors is an integer number (85357818).

Almost surely, 24348293750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4348293750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6145762896).

4348293750 is an abundant number, since it is smaller than the sum of its proper divisors (7943232042).

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

4348293750 is a wasteful number, since it uses less digits than its factorization.

4348293750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3417 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4348293750 is about 65941.5934748320. The cubic root of 4348293750 is about 1632.1984399524.

The spelling of 4348293750 in words is "four billion, three hundred forty-eight million, two hundred ninety-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 125 138 150 207 225 230 250 345 375 414 450 575 625 690 750 1035 1125 1150 1250 1725 1875 2070 2250 2875 3125 3361 3450 3750 5175 5625 5750 6250 6722 8625 9375 10083 10350 11250 14375 16805 17250 18750 20166 25875 28125 28750 30249 33610 43125 50415 51750 56250 60498 71875 77303 84025 86250 100830 129375 143750 151245 154606 168050 215625 231909 252075 258750 302490 386515 420125 431250 463818 504150 646875 695727 756225 773030 840250 1159545 1260375 1293750 1391454 1512450 1932575 2100625 2319090 2520750 3478635 3781125 3865150 4201250 5797725 6301875 6957270 7562250 9662875 10503125 11595450 12603750 17393175 18905625 19325750 21006250 28988625 31509375 34786350 37811250 48314375 57977250 63018750 86965875 94528125 96628750 144943125 173931750 189056250 241571875 289886250 434829375 483143750 724715625 869658750 1449431250 2174146875 4348293750