Search a number
-
+
74294352 = 243211173189
BaseRepresentation
bin1000110110110…
…10010001010000
312011210112200200
410123122101100
5123004404402
611212215200
71561330416
oct433322120
9164715620
1074294352
1138a344a0
1220a6a500
1312513372
149c1d2b6
1567c821c
hex46da450

74294352 has 240 divisors, whose sum is σ = 250698240. Its totient is φ = 20275200.

The previous prime is 74294333. The next prime is 74294371. The reversal of 74294352 is 25349247.

It is an interprime number because it is at equal distance from previous prime (74294333) and next prime (74294371).

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 834724 + ... + 834812.

It is an arithmetic number, because the mean of its divisors is an integer number (1044576).

Almost surely, 274294352 is an apocalyptic number.

74294352 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 74294352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125349120).

74294352 is an abundant number, since it is smaller than the sum of its proper divisors (176403888).

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

74294352 is a wasteful number, since it uses less digits than its factorization.

74294352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 153 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 74294352 is about 8619.4171496685. The cubic root of 74294352 is about 420.3895705154.

It can be divided in two parts, 7429 and 4352, that added together give a triangular number (11781 = T153).

The spelling of 74294352 in words is "seventy-four million, two hundred ninety-four thousand, three hundred fifty-two".