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74108340 = 223252914197
BaseRepresentation
bin1000110101011…
…00110110110100
312011110002112100
410122230312310
5122432431330
611204222100
71556624205
oct432546664
9164402470
1074108340
1138917769
122099a930
13124797b7
149bb15ac
15678d060
hex46acdb4

74108340 has 72 divisors (see below), whose sum is σ = 232563240. Its totient is φ = 19079424.

The previous prime is 74108329. The next prime is 74108347. The reversal of 74108340 is 4380147.

It can be written as a sum of positive squares in 4 ways, for example, as 29030544 + 45077796 = 5388^2 + 6714^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74108347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1879 + ... + 12318.

It is an arithmetic number, because the mean of its divisors is an integer number (3230045).

Almost surely, 274108340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74108340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116281620).

74108340 is an abundant number, since it is smaller than the sum of its proper divisors (158454900).

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

74108340 is a wasteful number, since it uses less digits than its factorization.

74108340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14241 (or 14236 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 74108340 is about 8608.6200984827. The cubic root of 74108340 is about 420.0384318574.

Adding to 74108340 its reverse (4380147), we get a palindrome (78488487).

The spelling of 74108340 in words is "seventy-four million, one hundred eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 14197 28394 42591 56788 70985 85182 127773 141970 170364 212955 255546 283940 411713 425910 511092 638865 823426 851820 1235139 1277730 1646852 2058565 2470278 2555460 3705417 4117130 4940556 6175695 7410834 8234260 12351390 14821668 18527085 24702780 37054170 74108340