Search a number
-
+
74729304 = 2335132957
BaseRepresentation
bin1000111010001…
…00011101011000
312012121122100000
410131010131120
5123112314204
611225413000
71565121456
oct435043530
9165548300
1074729304
1139201261
122103a160
1312636330
149cd39d6
156862039
hex4744758

74729304 has 96 divisors (see below), whose sum is σ = 226109520. Its totient is φ = 22985856.

The previous prime is 74729287. The next prime is 74729329. The reversal of 74729304 is 40392747.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23794 + ... + 26750.

Almost surely, 274729304 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 74729304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113054760).

74729304 is an abundant number, since it is smaller than the sum of its proper divisors (151380216).

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

74729304 is a wasteful number, since it uses less digits than its factorization.

74729304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 74729304 is about 8644.6112694557. The cubic root of 74729304 is about 421.2083569092.

The spelling of 74729304 in words is "seventy-four million, seven hundred twenty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 936 972 1053 1404 1944 2106 2808 2957 3159 4212 5914 6318 8424 8871 11828 12636 17742 23656 25272 26613 35484 38441 53226 70968 76882 79839 106452 115323 153764 159678 212904 230646 239517 307528 319356 345969 461292 479034 638712 691938 718551 922584 958068 1037907 1383876 1437102 1916136 2075814 2767752 2874204 3113721 4151628 5748408 6227442 8303256 9341163 12454884 18682326 24909768 37364652 74729304