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74371968 = 2732115869
BaseRepresentation
bin1000110111011…
…01001110000000
312011221111011100
410123231032000
5123014400333
611214014400
71562102616
oct433551600
9164844140
1074371968
1138a87840
1220aa7400
131253c7a8
149c3d6b6
1567e1213
hex46ed380

74371968 has 96 divisors (see below), whose sum is σ = 233508600. Its totient is φ = 22533120.

The previous prime is 74371963. The next prime is 74371987. The reversal of 74371968 is 86917347.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74371963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9738 + ... + 15606.

Almost surely, 274371968 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 74371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116754300).

74371968 is an abundant number, since it is smaller than the sum of its proper divisors (159136632).

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

74371968 is a wasteful number, since it uses less digits than its factorization.

74371968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900 (or 5885 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 74371968 is about 8623.9183669606. The cubic root of 74371968 is about 420.5359145287.

The spelling of 74371968 in words is "seventy-four million, three hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 5869 6336 11738 12672 17607 23476 35214 46952 52821 64559 70428 93904 105642 129118 140856 187808 193677 211284 258236 281712 375616 387354 422568 516472 563424 581031 751232 774708 845136 1032944 1126848 1162062 1549416 1690272 2065888 2253696 2324124 3098832 3380544 4131776 4648248 6197664 6761088 8263552 9296496 12395328 18592992 24790656 37185984 74371968