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74174940 = 22345731211
BaseRepresentation
bin1000110101111…
…01000111011100
312011120110220000
410122331013130
5122442044230
611205454300
71560322320
oct432750734
9164513800
1074174940
1138962804
1220a11390
13124a0bc8
149bcb980
1567a2b60
hex46bd1dc

74174940 has 240 divisors, whose sum is σ = 275810304. Its totient is φ = 16329600.

The previous prime is 74174939. The next prime is 74174941. The reversal of 74174940 is 4947147.

It is an interprime number because it is at equal distance from previous prime (74174939) and next prime (74174941).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 74174895 and 74174904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74174941) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 351435 + ... + 351645.

Almost surely, 274174940 is an apocalyptic number.

74174940 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 74174940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137905152).

74174940 is an abundant number, since it is smaller than the sum of its proper divisors (201635364).

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

74174940 is a wasteful number, since it uses less digits than its factorization.

74174940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 74174940 is about 8612.4874455641. The cubic root of 74174940 is about 420.1642214947.

The spelling of 74174940 in words is "seventy-four million, one hundred seventy-four thousand, nine hundred forty".