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74322432 = 29321272
BaseRepresentation
bin1000110111000…
…01001000000000
312011211222012200
410123201020000
5123011304212
611212553200
71561505322
oct433411000
9164758180
1074322432
1138a535a8
1220a82800
1312523092
149c29612
1567d16dc
hex46e1200

74322432 has 90 divisors (see below), whose sum is σ = 216201843. Its totient is φ = 24579072.

The previous prime is 74322397. The next prime is 74322481. The reversal of 74322432 is 23422347.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 37161216 + 37161216 = 6096^2 + 6096^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6096.

It is a junction number, because it is equal to n+sod(n) for n = 74322396 and 74322405.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 585153 + ... + 585279.

Almost surely, 274322432 is an apocalyptic number.

74322432 is a gapful number since it is divisible by the number (72) 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 74322432

74322432 is an abundant number, since it is smaller than the sum of its proper divisors (141879411).

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

74322432 is an equidigital number, since it uses as much as digits as its factorization.

74322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 132 counting only the distinct ones).

The product of its digits is 8064, while the sum is 27.

The square root of 74322432 is about 8621.0458762264. The cubic root of 74322432 is about 420.4425267718.

Adding to 74322432 its reverse (23422347), we get a palindrome (97744779).

The spelling of 74322432 in words is "seventy-four million, three hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 508 512 576 762 768 1016 1143 1152 1524 1536 2032 2286 2304 3048 4064 4572 4608 6096 8128 9144 12192 16129 16256 18288 24384 32258 32512 36576 48387 48768 64516 65024 73152 96774 97536 129032 145161 146304 193548 195072 258064 290322 292608 387096 516128 580644 585216 774192 1032256 1161288 1548384 2064512 2322576 3096768 4129024 4645152 6193536 8258048 9290304 12387072 18580608 24774144 37161216 74322432