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1339032114 = 233724631093
BaseRepresentation
bin100111111010000…
…0000001000110010
310110022121212202000
41033310000020302
510220243011424
6340512034430
745116404500
oct11764001062
93408555660
101339032114
11627937712
12314532a16
131845530c4
14c9ba1670
157c8503c9
hex4fd00232

1339032114 has 96 divisors (see below), whose sum is σ = 3472093440. Its totient is φ = 381405024.

The previous prime is 1339032077. The next prime is 1339032139. The reversal of 1339032114 is 4112309331.

1339032114 is a `hidden beast` number, since 1 + 339 + 0 + 321 + 1 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1224552 + ... + 1225644.

It is an arithmetic number, because the mean of its divisors is an integer number (36167640).

Almost surely, 21339032114 is an apocalyptic number.

1339032114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1339032114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736046720).

1339032114 is an abundant number, since it is smaller than the sum of its proper divisors (2133061326).

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

1339032114 is a wasteful number, since it uses less digits than its factorization.

1339032114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1339032114 is about 36592.7877320108. The cubic root of 1339032114 is about 1102.2082674827.

The spelling of 1339032114 in words is "one billion, three hundred thirty-nine million, thirty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 463 882 926 1093 1323 1389 2186 2646 2778 3241 3279 4167 6482 6558 7651 8334 9723 9837 12501 15302 19446 19674 22687 22953 25002 29169 29511 45374 45906 53557 58338 59022 68061 68859 87507 107114 136122 137718 160671 175014 204183 206577 321342 408366 413154 482013 506059 612549 964026 1012118 1225098 1446039 1518177 2892078 3036354 3542413 4554531 7084826 9109062 10627239 13663593 21254478 24796891 27327186 31881717 49593782 63763434 74390673 95645151 148781346 191290302 223172019 446344038 669516057 1339032114