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34231440 = 24353143107
BaseRepresentation
bin1000001010010…
…1010010010000
32101102010201010
42002211102100
532230401230
63221410520
7563651055
oct202452220
971363633
1034231440
1118360651
12b569a40
137126cb9
14479102c
1530129b0
hex20a5490

34231440 has 160 divisors (see below), whose sum is σ = 113135616. Its totient is φ = 8547840.

The previous prime is 34231427. The next prime is 34231451. The reversal of 34231440 is 4413243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319867 + ... + 319973.

Almost surely, 234231440 is an apocalyptic number.

34231440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56567808).

34231440 is an abundant number, since it is smaller than the sum of its proper divisors (78904176).

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

34231440 is a wasteful number, since it uses less digits than its factorization.

34231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 34231440 is about 5850.7640526687. The cubic root of 34231440 is about 324.6945927787.

Adding to 34231440 its reverse (4413243), we get a palindrome (38644683).

The spelling of 34231440 in words is "thirty-four million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 43 48 60 62 80 86 93 107 120 124 129 155 172 186 214 215 240 248 258 310 321 344 372 428 430 465 496 516 535 620 642 645 688 744 856 860 930 1032 1070 1240 1284 1290 1333 1488 1605 1712 1720 1860 2064 2140 2480 2568 2580 2666 3210 3317 3440 3720 3999 4280 4601 5136 5160 5332 6420 6634 6665 7440 7998 8560 9202 9951 10320 10664 12840 13268 13330 13803 15996 16585 18404 19902 19995 21328 23005 25680 26536 26660 27606 31992 33170 36808 39804 39990 46010 49755 53072 53320 55212 63984 66340 69015 73616 79608 79980 92020 99510 106640 110424 132680 138030 142631 159216 159960 184040 199020 220848 265360 276060 285262 319920 368080 398040 427893 552120 570524 713155 796080 855786 1104240 1141048 1426310 1711572 2139465 2282096 2852620 3423144 4278930 5705240 6846288 8557860 11410480 17115720 34231440