Search a number
-
+
354451620 = 2235231132273
BaseRepresentation
bin10101001000001…
…000000010100100
3220200222000012210
4111020020002210
51211214422440
655101043420
711532534435
oct2510100244
9820860183
10354451620
11172095826
129a856570
13585844b3
143510948c
15211b7a80
hex152080a4

354451620 has 96 divisors (see below), whose sum is σ = 1045239552. Its totient is φ = 89571328.

The previous prime is 354451619. The next prime is 354451633. The reversal of 354451620 is 26154453.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 154804 + ... + 157076.

It is an arithmetic number, because the mean of its divisors is an integer number (10887912).

Almost surely, 2354451620 is an apocalyptic number.

354451620 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 354451620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522619776).

354451620 is an abundant number, since it is smaller than the sum of its proper divisors (690787932).

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

354451620 is a wasteful number, since it uses less digits than its factorization.

354451620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2421 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 354451620 is about 18826.8855629390. The cubic root of 354451620 is about 707.7050943899.

The spelling of 354451620 in words is "three hundred fifty-four million, four hundred fifty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 113 115 138 226 230 276 339 345 452 460 565 678 690 1130 1356 1380 1695 2260 2273 2599 3390 4546 5198 6780 6819 7797 9092 10396 11365 12995 13638 15594 22730 25990 27276 31188 34095 38985 45460 51980 52279 68190 77970 104558 136380 155940 156837 209116 256849 261395 313674 513698 522790 627348 770547 784185 1027396 1045580 1284245 1541094 1568370 2568490 3082188 3136740 3852735 5136980 5907527 7705470 11815054 15410940 17722581 23630108 29537635 35445162 59075270 70890324 88612905 118150540 177225810 354451620