Search a number
-
+
67342440 = 233511173001
BaseRepresentation
bin1000000001110…
…01000001101000
311200201100110110
410000321001220
5114214424230
610403214320
71445254434
oct400710150
9150640413
1067342440
1135016410
121a6773a0
1310c4acc9
148d2d9c4
155da34b0
hex4039068

67342440 has 128 divisors (see below), whose sum is σ = 233435520. Its totient is φ = 15360000.

The previous prime is 67342421. The next prime is 67342453. The reversal of 67342440 is 4424376.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 67342398 and 67342407.

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, 20940 + ... + 23940.

It is an arithmetic number, because the mean of its divisors is an integer number (1823715).

Almost surely, 267342440 is an apocalyptic number.

67342440 is a gapful number since it is divisible by the number (60) 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 67342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116717760).

67342440 is an abundant number, since it is smaller than the sum of its proper divisors (166093080).

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

67342440 is a wasteful number, since it uses less digits than its factorization.

67342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 67342440 is about 8206.2439642019. The cubic root of 67342440 is about 406.8455929771.

The spelling of 67342440 in words is "sixty-seven million, three hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3001 3740 4488 5610 6002 7480 9003 11220 12004 15005 18006 22440 24008 30010 33011 36012 45015 51017 60020 66022 72024 90030 99033 102034 120040 132044 153051 165055 180060 198066 204068 255085 264088 306102 330110 360120 396132 408136 495165 510170 561187 612204 660220 765255 792264 990330 1020340 1122374 1224408 1320440 1530510 1683561 1980660 2040680 2244748 2805935 3061020 3367122 3961320 4489496 5611870 6122040 6734244 8417805 11223740 13468488 16835610 22447480 33671220 67342440