Search a number
-
+
74229390 = 23251983523
BaseRepresentation
bin1000110110010…
…10011010001110
312011200020120200
410123022122032
5123000320030
611210554330
71560640134
oct433123216
9164606520
1074229390
113899a704
1220a389a6
13124bc921
149c03754
1567b3d60
hex46ca68e

74229390 has 96 divisors (see below), whose sum is σ = 205994880. Its totient is φ = 18491328.

The previous prime is 74229377. The next prime is 74229401. The reversal of 74229390 is 9392247.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141669 + ... + 142191.

It is an arithmetic number, because the mean of its divisors is an integer number (2145780).

Almost surely, 274229390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74229390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102997440).

74229390 is an abundant number, since it is smaller than the sum of its proper divisors (131765490).

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

74229390 is a wasteful number, since it uses less digits than its factorization.

74229390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 74229390 is about 8615.6479733100. The cubic root of 74229390 is about 420.2670070900.

The spelling of 74229390 in words is "seventy-four million, two hundred twenty-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 83 90 95 114 166 171 190 249 285 342 415 498 523 570 747 830 855 1046 1245 1494 1569 1577 1710 2490 2615 3138 3154 3735 4707 4731 5230 7470 7845 7885 9414 9462 9937 14193 15690 15770 19874 23535 23655 28386 29811 43409 47070 47310 49685 59622 70965 86818 89433 99370 130227 141930 149055 178866 217045 260454 298110 390681 434090 447165 651135 781362 824771 894330 1302270 1649542 1953405 2474313 3906810 4123855 4948626 7422939 8247710 12371565 14845878 24743130 37114695 74229390