Search a number
-
+
3467472 = 243294753
BaseRepresentation
bin1101001110100011010000
320112011110220
431032203100
51341424342
6202153040
741321151
oct15164320
96464426
103467472
111a59188
1211b2780
13945378
14663928
154875ec
hex34e8d0

3467472 has 80 divisors (see below), whose sum is σ = 9642240. Its totient is φ = 1071616.

The previous prime is 3467467. The next prime is 3467479. The reversal of 3467472 is 2747643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3467479) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65398 + ... + 65450.

It is an arithmetic number, because the mean of its divisors is an integer number (120528).

Almost surely, 23467472 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 3467472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821120).

3467472 is an abundant number, since it is smaller than the sum of its proper divisors (6174768).

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

3467472 is a wasteful number, since it uses less digits than its factorization.

3467472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 134 counting only the distinct ones).

The product of its digits is 28224, while the sum is 33.

The square root of 3467472 is about 1862.1149266358. The cubic root of 3467472 is about 151.3576307424.

The spelling of 3467472 in words is "three million, four hundred sixty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 47 48 53 58 87 94 106 116 141 159 174 188 212 232 282 318 348 376 424 464 564 636 696 752 848 1128 1272 1363 1392 1537 2256 2491 2544 2726 3074 4089 4611 4982 5452 6148 7473 8178 9222 9964 10904 12296 14946 16356 18444 19928 21808 24592 29892 32712 36888 39856 59784 65424 72239 73776 119568 144478 216717 288956 433434 577912 866868 1155824 1733736 3467472