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74283440 = 24571131389
BaseRepresentation
bin1000110110101…
…11100110110000
312011202222201112
410123113212300
5123004032230
611212052452
71561253540
oct433274660
9164688645
1074283440
1138a27280
1220a64128
131250b3ca
149c19320
1567c4d95
hex46d79b0

74283440 has 160 divisors (see below), whose sum is σ = 222842880. Its totient is φ = 22348800.

The previous prime is 74283427. The next prime is 74283449. The reversal of 74283440 is 4438247.

It is a junction number, because it is equal to n+sod(n) for n = 74283397 and 74283406.

It is not an unprimeable number, because it can be changed into a prime (74283449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190766 + ... + 191154.

It is an arithmetic number, because the mean of its divisors is an integer number (1392768).

Almost surely, 274283440 is an apocalyptic number.

74283440 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 74283440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111421440).

74283440 is an abundant number, since it is smaller than the sum of its proper divisors (148559440).

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

74283440 is a wasteful number, since it uses less digits than its factorization.

74283440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 74283440 is about 8618.7841369882. The cubic root of 74283440 is about 420.3689879028.

The spelling of 74283440 in words is "seventy-four million, two hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 31 35 40 44 55 56 62 70 77 80 88 110 112 124 140 154 155 176 217 220 248 280 308 310 341 385 389 434 440 496 560 616 620 682 770 778 868 880 1085 1232 1240 1364 1540 1556 1705 1736 1945 2170 2387 2480 2723 2728 3080 3112 3410 3472 3890 4279 4340 4774 5446 5456 6160 6224 6820 7780 8558 8680 9548 10892 11935 12059 13615 13640 15560 17116 17360 19096 21395 21784 23870 24118 27230 27280 29953 31120 34232 38192 42790 43568 47740 48236 54460 59906 60295 68464 84413 85580 95480 96472 108920 119812 120590 132649 149765 168826 171160 190960 192944 217840 239624 241180 265298 299530 337652 342320 422065 479248 482360 530596 599060 663245 675304 844130 928543 964720 1061192 1198120 1326490 1350608 1688260 1857086 2122384 2396240 2652980 3376520 3714172 4642715 5305960 6753040 7428344 9285430 10611920 14856688 18570860 37141720 74283440