Search a number
-
+
74349744 = 2437792801
BaseRepresentation
bin1000110111001…
…11110010110000
312011220100200020
410123213302300
5123013142434
611213323440
71561651050
oct433476260
9164810606
1074349744
1138a72077
1220a96580
1312532641
149c35560
1567d9849
hex46e7cb0

74349744 has 80 divisors (see below), whose sum is σ = 222366720. Its totient is φ = 20966400.

The previous prime is 74349733. The next prime is 74349757. The reversal of 74349744 is 44794347.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 74349696 and 74349705.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25144 + ... + 27944.

It is an arithmetic number, because the mean of its divisors is an integer number (2779584).

Almost surely, 274349744 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 74349744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111183360).

74349744 is an abundant number, since it is smaller than the sum of its proper divisors (148016976).

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

74349744 is a wasteful number, since it uses less digits than its factorization.

74349744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2892 counting only the distinct ones).

The product of its digits is 338688, while the sum is 42.

The square root of 74349744 is about 8622.6297612735. The cubic root of 74349744 is about 420.4940218573.

The spelling of 74349744 in words is "seventy-four million, three hundred forty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 948 1106 1264 1659 1896 2212 2801 3318 3792 4424 5602 6636 8403 8848 11204 13272 16806 19607 22408 26544 33612 39214 44816 58821 67224 78428 117642 134448 156856 221279 235284 313712 442558 470568 663837 885116 941136 1327674 1548953 1770232 2655348 3097906 3540464 4646859 5310696 6195812 9293718 10621392 12391624 18587436 24783248 37174872 74349744