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74438676 = 22351343137
BaseRepresentation
bin1000110111111…
…01100000010100
312012001212200000
410123331200110
5123024014201
611215251300
71562501244
oct433754024
9165055600
1074438676
1139022974
1220b19b30
1312563c70
149c59b24
156805d86
hex46fd814

74438676 has 144 divisors (see below), whose sum is σ = 216600384. Its totient is φ = 22208256.

The previous prime is 74438671. The next prime is 74438687. The reversal of 74438676 is 67683447.

It is a super-2 number, since 2×744386762 = 11082232969265952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74438671) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 543280 + ... + 543416.

Almost surely, 274438676 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 74438676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108300192).

74438676 is an abundant number, since it is smaller than the sum of its proper divisors (142161708).

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

74438676 is a wasteful number, since it uses less digits than its factorization.

74438676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 198 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 74438676 is about 8627.7851155438. The cubic root of 74438676 is about 420.6616103040.

The spelling of 74438676 in words is "seventy-four million, four hundred thirty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 43 52 54 78 81 86 108 117 129 137 156 162 172 234 243 258 274 324 351 387 411 468 486 516 548 559 702 774 822 972 1053 1118 1161 1233 1404 1548 1644 1677 1781 2106 2236 2322 2466 3159 3354 3483 3562 3699 4212 4644 4932 5031 5343 5891 6318 6708 6966 7124 7398 10062 10449 10686 11097 11782 12636 13932 14796 15093 16029 17673 20124 20898 21372 22194 23564 30186 32058 33291 35346 41796 44388 45279 48087 53019 60372 64116 66582 70692 76583 90558 96174 106038 133164 135837 144261 153166 159057 181116 192348 212076 229749 271674 288522 306332 318114 432783 459498 477171 543348 577044 636228 689247 865566 918996 954342 1378494 1431513 1731132 1908684 2067741 2756988 2863026 4135482 5726052 6203223 8270964 12406446 18609669 24812892 37219338 74438676