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74434320 = 24325671543
BaseRepresentation
bin1000110111111…
…00011100010000
312012001122200200
410123330130100
5123023344240
611215215200
71562452452
oct433743420
9165048620
1074434320
113901a674
1220b17500
1312561c9c
149c582d2
156804930
hex46fc710

74434320 has 120 divisors (see below), whose sum is σ = 253870656. Its totient is φ = 19540224.

The previous prime is 74434309. The next prime is 74434351. The reversal of 74434320 is 2343447.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47469 + ... + 49011.

Almost surely, 274434320 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 74434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126935328).

74434320 is an abundant number, since it is smaller than the sum of its proper divisors (179436336).

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

74434320 is a wasteful number, since it uses less digits than its factorization.

74434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1620 counting only the distinct ones).

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

The square root of 74434320 is about 8627.5326716275. The cubic root of 74434320 is about 420.6534047232.

Adding to 74434320 its product of nonzero digits (8064), we get a square (74442384 = 86282).

Adding to 74434320 its reverse (2343447), we get a palindrome (76777767).

The spelling of 74434320 in words is "seventy-four million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 536 603 670 720 804 1005 1072 1206 1340 1543 1608 2010 2412 2680 3015 3086 3216 4020 4629 4824 5360 6030 6172 7715 8040 9258 9648 12060 12344 13887 15430 16080 18516 23145 24120 24688 27774 30860 37032 46290 48240 55548 61720 69435 74064 92580 103381 111096 123440 138870 185160 206762 222192 277740 310143 370320 413524 516905 555480 620286 827048 930429 1033810 1110960 1240572 1550715 1654096 1860858 2067620 2481144 3101430 3721716 4135240 4652145 4962288 6202860 7443432 8270480 9304290 12405720 14886864 18608580 24811440 37217160 74434320