Search a number
-
+
74934440 = 2357318997
BaseRepresentation
bin1000111011101…
…10100010101000
312020000001201122
410131312202220
5123140400230
611234034412
71566634520
oct435664250
9166001648
1074934440
1139331399
1221118a08
13126a8809
149d48680
1568a2be5
hex47768a8

74934440 has 128 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 24330240.

The previous prime is 74934439. The next prime is 74934443. The reversal of 74934440 is 4443947.

It is a happy number.

It is a super-2 number, since 2×749344402 = 11230340596227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 74934440.

It is not an unprimeable number, because it can be changed into a prime (74934443) 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 31 ways as a sum of consecutive naturals, for example, 772472 + ... + 772568.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 274934440 is an apocalyptic number.

74934440 is a gapful number since it is divisible by the number (70) 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 74934440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

74934440 is an abundant number, since it is smaller than the sum of its proper divisors (128278360).

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

74934440 is a wasteful number, since it uses less digits than its factorization.

74934440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 74934440 is about 8656.4681019455. The cubic root of 74934440 is about 421.5934180615.

The spelling of 74934440 in words is "seventy-four million, nine hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 89 97 124 140 155 178 194 217 248 280 310 356 388 434 445 485 620 623 679 712 776 868 890 970 1085 1240 1246 1358 1736 1780 1940 2170 2492 2716 2759 3007 3115 3395 3560 3880 4340 4984 5432 5518 6014 6230 6790 8633 8680 11036 12028 12460 13580 13795 15035 17266 19313 21049 22072 24056 24920 27160 27590 30070 34532 38626 42098 43165 55180 60140 60431 69064 77252 84196 86330 96565 105245 110360 120280 120862 154504 168392 172660 193130 210490 241724 267623 302155 345320 386260 420980 483448 535246 604310 772520 841960 1070492 1208620 1338115 1873361 2140984 2417240 2676230 3746722 5352460 7493444 9366805 10704920 14986888 18733610 37467220 74934440