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74344480 = 2557411619
BaseRepresentation
bin1000110111001…
…10100000100000
312011220002110021
410123212200200
5123013010410
611213243224
71561626520
oct433464040
9164802407
1074344480
1138a69121
1220a93514
1312530122
149c33680
1567d7eda
hex46e6820

74344480 has 96 divisors (see below), whose sum is σ = 205752960. Its totient is φ = 24852480.

The previous prime is 74344477. The next prime is 74344489. The reversal of 74344480 is 8444347.

It is not an unprimeable number, because it can be changed into a prime (74344489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45111 + ... + 46729.

It is an arithmetic number, because the mean of its divisors is an integer number (2143260).

Almost surely, 274344480 is an apocalyptic number.

74344480 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 74344480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102876480).

74344480 is an abundant number, since it is smaller than the sum of its proper divisors (131408480).

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

74344480 is a wasteful number, since it uses less digits than its factorization.

74344480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The square root of 74344480 is about 8622.3245125662. The cubic root of 74344480 is about 420.4840978923.

The spelling of 74344480 in words is "seventy-four million, three hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 56 70 80 82 112 140 160 164 205 224 280 287 328 410 560 574 656 820 1120 1148 1312 1435 1619 1640 2296 2870 3238 3280 4592 5740 6476 6560 8095 9184 11333 11480 12952 16190 22666 22960 25904 32380 45332 45920 51808 56665 64760 66379 90664 113330 129520 132758 181328 226660 259040 265516 331895 362656 453320 464653 531032 663790 906640 929306 1062064 1327580 1813280 1858612 2124128 2323265 2655160 3717224 4646530 5310320 7434448 9293060 10620640 14868896 18586120 37172240 74344480