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74106368 = 297232931
BaseRepresentation
bin1000110101011…
…00011000000000
312011102222211022
410122230120000
5122432400433
611204205012
71556615360
oct432543000
9164388738
1074106368
1138916236
1220999768
131247892b
149bb09a0
15678c698
hex46ac600

74106368 has 160 divisors (see below), whose sum is σ = 188559360. Its totient is φ = 28385280.

The previous prime is 74106367. The next prime is 74106377. The reversal of 74106368 is 86360147.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74106367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2390513 + ... + 2390543.

It is an arithmetic number, because the mean of its divisors is an integer number (1178496).

Almost surely, 274106368 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 74106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94279680).

74106368 is an abundant number, since it is smaller than the sum of its proper divisors (114452992).

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

74106368 is a wasteful number, since it uses less digits than its factorization.

74106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 74106368 is about 8608.5055613620. The cubic root of 74106368 is about 420.0347061267.

The spelling of 74106368 in words is "seventy-four million, one hundred six thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 29 31 32 46 56 58 62 64 92 112 116 124 128 161 184 203 217 224 232 248 256 322 368 406 434 448 464 496 512 644 667 713 736 812 868 896 899 928 992 1288 1334 1426 1472 1624 1736 1792 1798 1856 1984 2576 2668 2852 2944 3248 3472 3584 3596 3712 3968 4669 4991 5152 5336 5704 5888 6293 6496 6944 7192 7424 7936 9338 9982 10304 10672 11408 11776 12586 12992 13888 14384 14848 15872 18676 19964 20608 20677 21344 22816 25172 25984 27776 28768 37352 39928 41216 41354 42688 45632 50344 51968 55552 57536 74704 79856 82432 82708 85376 91264 100688 103936 111104 115072 144739 149408 159712 165416 170752 182528 201376 230144 289478 298816 319424 330832 341504 365056 402752 460288 578956 597632 638848 661664 805504 1157912 1195264 1277696 1323328 1611008 2315824 2390528 2555392 2646656 3222016 4631648 5293312 9263296 10586624 18526592 37053184 74106368