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74304120 = 233511181311
BaseRepresentation
bin1000110110111…
…00101001111000
312011211001002110
410123130221320
5123010212440
611212332320
71561401042
oct433345170
9164731073
1074304120
1138a40870
1220a740a0
1312517947
149c22a92
1567cb080
hex46dca78

74304120 has 128 divisors (see below), whose sum is σ = 245306880. Its totient is φ = 17856000.

The previous prime is 74304091. The next prime is 74304121. The reversal of 74304120 is 2140347.

It is a super-2 number, since 2×743041202 = 11042204497948800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74304121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 238765 + ... + 239075.

It is an arithmetic number, because the mean of its divisors is an integer number (1916460).

Almost surely, 274304120 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 74304120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122653440).

74304120 is an abundant number, since it is smaller than the sum of its proper divisors (171002760).

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

74304120 is a wasteful number, since it uses less digits than its factorization.

74304120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 74304120 is about 8619.9837586854. The cubic root of 74304120 is about 420.4079935640.

Adding to 74304120 its reverse (2140347), we get a palindrome (76444467).

The spelling of 74304120 in words is "seventy-four million, three hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 181 220 264 311 330 362 440 543 622 660 724 905 933 1086 1244 1320 1448 1555 1810 1866 1991 2172 2488 2715 3110 3421 3620 3732 3982 4344 4665 5430 5973 6220 6842 7240 7464 7964 9330 9955 10263 10860 11946 12440 13684 15928 17105 18660 19910 20526 21720 23892 27368 29865 34210 37320 39820 41052 47784 51315 56291 59730 68420 79640 82104 102630 112582 119460 136840 168873 205260 225164 238920 281455 337746 410520 450328 562910 619201 675492 844365 1125820 1238402 1350984 1688730 1857603 2251640 2476804 3096005 3377460 3715206 4953608 6192010 6754920 7430412 9288015 12384020 14860824 18576030 24768040 37152060 74304120