Search a number
-
+
354005344 = 25711237353
BaseRepresentation
bin10101000110011…
…011000101100000
3220200010100001001
4111012123011200
51211111132334
655043321344
711525665360
oct2506330540
9820110031
10354005344
11171910500
129a680254
1358459324
14350309a0
152112a714
hex1519b160

354005344 has 144 divisors (see below), whose sum is σ = 901714464. Its totient is φ = 133816320.

The previous prime is 354005341. The next prime is 354005371. The reversal of 354005344 is 443500453.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354005341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1002672 + ... + 1003024.

It is an arithmetic number, because the mean of its divisors is an integer number (6261906).

Almost surely, 2354005344 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 354005344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450857232).

354005344 is an abundant number, since it is smaller than the sum of its proper divisors (547709120).

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

354005344 is a wasteful number, since it uses less digits than its factorization.

354005344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 354005344 is about 18815.0297368885. The cubic root of 354005344 is about 707.4079551622.

Adding to 354005344 its reverse (443500453), we get a palindrome (797505797).

The spelling of 354005344 in words is "three hundred fifty-four million, five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 74 77 88 112 121 148 154 176 224 242 259 296 308 352 353 407 484 518 592 616 706 814 847 968 1036 1184 1232 1412 1628 1694 1936 2072 2464 2471 2824 2849 3256 3388 3872 3883 4144 4477 4942 5648 5698 6512 6776 7766 8288 8954 9884 11296 11396 13024 13061 13552 15532 17908 19768 22792 26122 27104 27181 31064 31339 35816 39536 42713 45584 52244 54362 62128 62678 71632 79072 85426 91168 91427 104488 108724 124256 125356 143264 143671 170852 182854 208976 217448 250712 287342 298991 341704 365708 417952 434896 501424 574684 597982 683408 731416 869792 1002848 1005697 1149368 1195964 1366816 1462832 1580381 2011394 2298736 2391928 2925664 3160762 4022788 4597472 4783856 6321524 8045576 9567712 11062667 12643048 16091152 22125334 25286096 32182304 44250668 50572192 88501336 177002672 354005344