Search a number
-
+
74109312 = 2732232797
BaseRepresentation
bin1000110101011…
…01000110000000
312011110010212100
410122231012000
5122432444222
611204230400
71556630064
oct432550600
9164403770
1074109312
1138918472
122099b400
131247a084
149bb1aa4
15678d4ac
hex46ad180

74109312 has 96 divisors (see below), whose sum is σ = 222608880. Its totient is φ = 23620608.

The previous prime is 74109293. The next prime is 74109331. The reversal of 74109312 is 21390147.

It is an interprime number because it is at equal distance from previous prime (74109293) and next prime (74109331).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×741093122 = 10984380250226688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25098 + ... + 27894.

Almost surely, 274109312 is an apocalyptic number.

74109312 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 74109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111304440).

74109312 is an abundant number, since it is smaller than the sum of its proper divisors (148499568).

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

74109312 is a wasteful number, since it uses less digits than its factorization.

74109312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 74109312 is about 8608.6765533385. The cubic root of 74109312 is about 420.0402682479.

Adding to 74109312 its reverse (21390147), we get a palindrome (95499459).

The spelling of 74109312 in words is "seventy-four million, one hundred nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 736 828 1104 1152 1472 1656 2208 2797 2944 3312 4416 5594 6624 8391 8832 11188 13248 16782 22376 25173 26496 33564 44752 50346 64331 67128 89504 100692 128662 134256 179008 192993 201384 257324 268512 358016 385986 402768 514648 537024 578979 771972 805536 1029296 1074048 1157958 1543944 1611072 2058592 2315916 3087888 3222144 4117184 4631832 6175776 8234368 9263664 12351552 18527328 24703104 37054656 74109312