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74434140 = 22345114177
BaseRepresentation
bin1000110111111…
…00011001011100
312012001122110000
410123330121130
5123023343030
611215214300
71562452104
oct433743134
9165048400
1074434140
113901a520
1220b17390
1312561b91
149c58204
156804860
hex46fc65c

74434140 has 120 divisors (see below), whose sum is σ = 254791152. Its totient is φ = 18040320.

The previous prime is 74434123. The next prime is 74434169. The reversal of 74434140 is 4143447.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15732 + ... + 19908.

Almost surely, 274434140 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 74434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127395576).

74434140 is an abundant number, since it is smaller than the sum of its proper divisors (180357012).

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

74434140 is a wasteful number, since it uses less digits than its factorization.

74434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 74434140 is about 8627.5222399018. The cubic root of 74434140 is about 420.6530656427.

Adding to 74434140 its reverse (4143447), we get a palindrome (78577587).

The spelling of 74434140 in words is "seventy-four million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4177 4455 5940 8354 8910 12531 16708 17820 20885 25062 37593 41770 45947 50124 62655 75186 83540 91894 112779 125310 137841 150372 183788 187965 225558 229735 250620 275682 338337 375930 413523 451116 459470 551364 563895 676674 689205 751860 827046 918940 1127790 1240569 1353348 1378410 1654092 1691685 2067615 2255580 2481138 2756820 3383370 3721707 4135230 4962276 6202845 6766740 7443414 8270460 12405690 14886828 18608535 24811380 37217070 74434140