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74470968 = 233311132411
BaseRepresentation
bin1000111000001…
…01011000111000
312012010111222000
410130011120320
5123031032333
611220101000
71562664345
oct434053070
9165114860
1074470968
1139045160
1220b34760
1312575880
149c677cc
156810713
hex4705638

74470968 has 128 divisors (see below), whose sum is σ = 243129600. Its totient is φ = 20822400.

The previous prime is 74470961. The next prime is 74470993. The reversal of 74470968 is 86907447.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74470961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29683 + ... + 32093.

It is an arithmetic number, because the mean of its divisors is an integer number (1899450).

Almost surely, 274470968 is an apocalyptic number.

74470968 is a gapful number since it is divisible by the number (78) 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 74470968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121564800).

74470968 is an abundant number, since it is smaller than the sum of its proper divisors (168658632).

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

74470968 is a wasteful number, since it uses less digits than its factorization.

74470968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2440 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 74470968 is about 8629.6563083358. The cubic root of 74470968 is about 420.7224301253.

The spelling of 74470968 in words is "seventy-four million, four hundred seventy thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 702 792 858 936 1144 1188 1287 1404 1716 2376 2411 2574 2808 3432 3861 4822 5148 7233 7722 9644 10296 14466 15444 19288 21699 26521 28932 30888 31343 43398 53042 57864 62686 65097 79563 86796 94029 106084 125372 130194 159126 173592 188058 212168 238689 250744 260388 282087 318252 344773 376116 477378 520776 564174 636504 689546 716067 752232 846261 954756 1034319 1128348 1379092 1432134 1692522 1909512 2068638 2256696 2758184 2864268 3102957 3385044 4137276 5728536 6205914 6770088 8274552 9308871 12411828 18617742 24823656 37235484 74470968