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74729340 = 223257127467
BaseRepresentation
bin1000111010001…
…00011101111100
312012121122101100
410131010131330
5123112314330
611225413100
71565121540
oct435043574
9165548340
1074729340
1139201294
122103a190
131263635a
149cd3a20
156862060
hex474477c

74729340 has 144 divisors (see below), whose sum is σ = 261660672. Its totient is φ = 16910208.

The previous prime is 74729329. The next prime is 74729351. The reversal of 74729340 is 4392747.

It is an interprime number because it is at equal distance from previous prime (74729329) and next prime (74729351).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74729295 and 74729304.

It is a congruent number.

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, 159787 + ... + 160253.

It is an arithmetic number, because the mean of its divisors is an integer number (1817088).

Almost surely, 274729340 is an apocalyptic number.

74729340 is a gapful number since it is divisible by the number (70) 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 74729340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130830336).

74729340 is an abundant number, since it is smaller than the sum of its proper divisors (186931332).

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

74729340 is a wasteful number, since it uses less digits than its factorization.

74729340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 74729340 is about 8644.6133516774. The cubic root of 74729340 is about 421.2084245467.

The spelling of 74729340 in words is "seventy-four million, seven hundred twenty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 127 140 180 210 252 254 315 381 420 467 508 630 635 762 889 934 1143 1260 1270 1401 1524 1778 1868 1905 2286 2335 2540 2667 2802 3269 3556 3810 4203 4445 4572 4670 5334 5604 5715 6538 7005 7620 8001 8406 8890 9340 9807 10668 11430 13076 13335 14010 16002 16345 16812 17780 19614 21015 22860 26670 28020 29421 32004 32690 39228 40005 42030 49035 53340 58842 59309 65380 80010 84060 98070 117684 118618 147105 160020 177927 196140 237236 294210 296545 355854 415163 533781 588420 593090 711708 830326 889635 1067562 1186180 1245489 1660652 1779270 2075815 2135124 2490978 2668905 3558540 3736467 4151630 4981956 5337810 6227445 7472934 8303260 10675620 12454890 14945868 18682335 24909780 37364670 74729340