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74302144 = 267237211
BaseRepresentation
bin1000110110111…
…00001011000000
312011210221101021
410123130023000
5123010132034
611212315224
71561362220
oct433341300
9164727337
1074302144
1138a3a334
1220a72b14
1312516a87
149c22080
1567ca6b4
hex46dc2c0

74302144 has 56 divisors (see below), whose sum is σ = 175857408. Its totient is φ = 30455040.

The previous prime is 74302093. The next prime is 74302153. The reversal of 74302144 is 44120347.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 6699 + ... + 13909.

Almost surely, 274302144 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 74302144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87928704).

74302144 is an abundant number, since it is smaller than the sum of its proper divisors (101555264).

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

74302144 is a wasteful number, since it uses less digits than its factorization.

74302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7253 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 74302144 is about 8619.8691405380. The cubic root of 74302144 is about 420.4042668368.

The spelling of 74302144 in words is "seventy-four million, three hundred two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 7211 10304 14422 28844 50477 57688 100954 115376 165853 201908 230752 331706 403816 461504 663412 807632 1160971 1326824 1615264 2321942 2653648 3230528 4643884 5307296 9287768 10614592 18575536 37151072 74302144