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354344220 = 22345534127
BaseRepresentation
bin10101000111101…
…101110100011100
3220200202112220000
4111013231310130
51211203003340
655054454300
711531606346
oct2507556434
9820675800
10354344220
1117202206a
129a804390
1358547649
14350bc296
1521195d30
hex151edd1c

354344220 has 120 divisors (see below), whose sum is σ = 1132838784. Its totient is φ = 92686464.

The previous prime is 354344219. The next prime is 354344239. The reversal of 354344220 is 22443453.

354344220 is a `hidden beast` number, since 3 + 5 + 434 + 4 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83797 + ... + 87923.

Almost surely, 2354344220 is an apocalyptic number.

354344220 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 354344220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566419392).

354344220 is an abundant number, since it is smaller than the sum of its proper divisors (778494564).

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

354344220 is a wasteful number, since it uses less digits than its factorization.

354344220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 354344220 is about 18824.0330428949. The cubic root of 354344220 is about 707.6336081833.

Adding to 354344220 its reverse (22443453), we get a palindrome (376787673).

The spelling of 354344220 in words is "three hundred fifty-four million, three hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 81 90 106 108 135 159 162 180 212 265 270 318 324 405 477 530 540 636 795 810 954 1060 1431 1590 1620 1908 2385 2862 3180 4127 4293 4770 5724 7155 8254 8586 9540 12381 14310 16508 17172 20635 21465 24762 28620 37143 41270 42930 49524 61905 74286 82540 85860 111429 123810 148572 185715 218731 222858 247620 334287 371430 437462 445716 557145 656193 668574 742860 874924 1093655 1114290 1312386 1337148 1671435 1968579 2187310 2228580 2624772 3280965 3342870 3937158 4374620 5905737 6561930 6685740 7874316 9842895 11811474 13123860 17717211 19685790 23622948 29528685 35434422 39371580 59057370 70868844 88586055 118114740 177172110 354344220