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354530000 = 2454112293
BaseRepresentation
bin10101001000011…
…011001011010000
3220201002222201202
4111020123023100
51211224430000
655102450332
711533312106
oct2510331320
9821088652
10354530000
11172139700
129a8939a8
13585b1086
1435129c76
15211d0dd5
hex1521b2d0

354530000 has 150 divisors (see below), whose sum is σ = 946698522. Its totient is φ = 128480000.

The previous prime is 354529979. The next prime is 354530003. The reversal of 354530000 is 35453.

It can be written as a sum of positive squares in 5 ways, for example, as 53993104 + 300536896 = 7348^2 + 17336^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354530003) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1209854 + ... + 1210146.

Almost surely, 2354530000 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 354530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473349261).

354530000 is an abundant number, since it is smaller than the sum of its proper divisors (592168522).

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

354530000 is a wasteful number, since it uses less digits than its factorization.

354530000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 354530000 is about 18828.9670454861. The cubic root of 354530000 is about 707.7572555632.

Adding to 354530000 its reverse (35453), we get a palindrome (354565453).

Multiplying 354530000 by its reverse (35453), we get a square (12569152090000 = 35453002).

354530000 divided by its reverse (35453) gives a 4-th power (10000 = 104).

The spelling of 354530000 in words is "three hundred fifty-four million, five hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 293 400 440 484 500 550 586 605 625 880 968 1000 1100 1172 1210 1250 1375 1465 1936 2000 2200 2344 2420 2500 2750 2930 3025 3223 4400 4688 4840 5000 5500 5860 6050 6446 6875 7325 9680 10000 11000 11720 12100 12892 13750 14650 15125 16115 22000 23440 24200 25784 27500 29300 30250 32230 35453 36625 48400 51568 55000 58600 60500 64460 70906 73250 75625 80575 110000 117200 121000 128920 141812 146500 151250 161150 177265 183125 242000 257840 283624 293000 302500 322300 354530 366250 402875 567248 586000 605000 644600 709060 732500 805750 886325 1210000 1289200 1418120 1465000 1611500 1772650 2014375 2836240 2930000 3223000 3545300 4028750 4431625 6446000 7090600 8057500 8863250 14181200 16115000 17726500 22158125 32230000 35453000 44316250 70906000 88632500 177265000 354530000