Search a number
-
+
354005340 = 2235131923887
BaseRepresentation
bin10101000110011…
…011000101011100
3220200010100000220
4111012123011130
51211111132330
655043321340
711525665353
oct2506330534
9820110026
10354005340
111719104a7
129a680250
1358459320
143503099a
152112a710
hex1519b15c

354005340 has 96 divisors (see below), whose sum is σ = 1123691520. Its totient is φ = 82550016.

The previous prime is 354005317. The next prime is 354005341. The reversal of 354005340 is 43500453.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 354005340.

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 31 ways as a sum of consecutive naturals, for example, 2877 + ... + 26763.

It is an arithmetic number, because the mean of its divisors is an integer number (11705120).

Almost surely, 2354005340 is an apocalyptic number.

354005340 is a gapful number since it is divisible by the number (30) 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 354005340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561845760).

354005340 is an abundant number, since it is smaller than the sum of its proper divisors (769686180).

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

354005340 is a wasteful number, since it uses less digits than its factorization.

354005340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23931 (or 23929 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 354005340 is about 18815.0296305905. The cubic root of 354005340 is about 707.4079524978.

Adding to 354005340 its reverse (43500453), we get a palindrome (397505793).

The spelling of 354005340 in words is "three hundred fifty-four million, five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7410 14820 23887 47774 71661 95548 119435 143322 238870 286644 310531 358305 453853 477740 621062 716610 907706 931593 1242124 1361559 1433220 1552655 1815412 1863186 2269265 2723118 3105310 3726372 4538530 4657965 5446236 5900089 6210620 6807795 9077060 9315930 11800178 13615590 17700267 18631860 23600356 27231180 29500445 35400534 59000890 70801068 88501335 118001780 177002670 354005340