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74238208 = 281141643
BaseRepresentation
bin1000110110011…
…00100100000000
312011200200200021
410123030210000
5123001110313
611211103224
71561004632
oct433144400
9164620607
1074238208
11389a62a0
1220a41b14
13124c3945
149c06a52
1567b678d
hex46cc900

74238208 has 72 divisors (see below), whose sum is σ = 165858336. Its totient is φ = 32870400.

The previous prime is 74238191. The next prime is 74238223. The reversal of 74238208 is 80283247.

It is a super-2 number, since 2×742382082 = 11022623054102528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115135 + ... + 115777.

It is an arithmetic number, because the mean of its divisors is an integer number (2303588).

Almost surely, 274238208 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 74238208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82929168).

74238208 is an abundant number, since it is smaller than the sum of its proper divisors (91620128).

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

74238208 is a wasteful number, since it uses less digits than its factorization.

74238208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 74238208 is about 8616.1597013983. The cubic root of 74238208 is about 420.2836481524.

The spelling of 74238208 in words is "seventy-four million, two hundred thirty-eight thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 256 328 352 451 643 656 704 902 1286 1312 1408 1804 2572 2624 2816 3608 5144 5248 7073 7216 10288 10496 14146 14432 20576 26363 28292 28864 41152 52726 56584 57728 82304 105452 113168 115456 164608 210904 226336 289993 421808 452672 579986 843616 905344 1159972 1687232 1810688 2319944 3374464 4639888 6748928 9279776 18559552 37119104 74238208