Search a number
-
+
400232644 = 227197989107
BaseRepresentation
bin10111110110110…
…001000011000100
31000220002220222021
4113312301003010
51304424421034
6103414212524
712626631010
oct2766610304
91026086867
10400232644
11195a14789
12b2054144
1364bc3466
143b225540
152520c6b4
hex17db10c4

400232644 has 96 divisors (see below), whose sum is σ = 870912000. Its totient is φ = 157158144.

The previous prime is 400232639. The next prime is 400232659. The reversal of 400232644 is 446232004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3740439 + ... + 3740545.

It is an arithmetic number, because the mean of its divisors is an integer number (9072000).

Almost surely, 2400232644 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 400232644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456000).

400232644 is an abundant number, since it is smaller than the sum of its proper divisors (470679356).

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

400232644 is a wasteful number, since it uses less digits than its factorization.

400232644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 400232644 is about 20005.8152545704. The cubic root of 400232644 is about 736.9491166811.

Adding to 400232644 its reverse (446232004), we get a palindrome (846464648).

The spelling of 400232644 in words is "four hundred million, two hundred thirty-two thousand, six hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 76 79 89 107 133 158 178 214 266 316 356 428 532 553 623 749 1106 1246 1498 1501 1691 2033 2212 2492 2996 3002 3382 4066 6004 6764 7031 8132 8453 9523 10507 11837 14062 14231 16906 19046 21014 23674 28124 28462 33812 38092 42028 47348 49217 56924 59171 66661 98434 118342 133322 133589 160607 180937 196868 236684 266644 267178 321214 361874 534356 642428 723748 752317 935123 1124249 1266559 1504634 1870246 2248498 2533118 3009268 3740492 4496996 5066236 5266219 10532438 14294023 21064876 28588046 57176092 100058161 200116322 400232644