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354142360 = 2351113101613
BaseRepresentation
bin10101000110111…
…100100010011000
3220200101021222201
4111012330202120
51211130023420
655050255544
711530106005
oct2506744230
9820337881
10354142360
111719a4440
129a7275b4
13584a67c0
14350688ac
152115610a
hex151bc898

354142360 has 128 divisors (see below), whose sum is σ = 946935360. Its totient is φ = 117504000.

The previous prime is 354142331. The next prime is 354142363. The reversal of 354142360 is 63241453.

It is a super-2 number, since 2×3541423602 = 250833622292739200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354142363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577414 + ... + 578026.

Almost surely, 2354142360 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 354142360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473467680).

354142360 is an abundant number, since it is smaller than the sum of its proper divisors (592793000).

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

354142360 is a wasteful number, since it uses less digits than its factorization.

354142360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 354142360 is about 18818.6705162719. The cubic root of 354142360 is about 707.4992096284.

The spelling of 354142360 in words is "three hundred fifty-four million, one hundred forty-two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 101 104 110 130 143 202 220 260 286 404 440 505 520 572 613 715 808 1010 1111 1144 1226 1313 1430 2020 2222 2452 2626 2860 3065 4040 4444 4904 5252 5555 5720 6130 6565 6743 7969 8888 10504 11110 12260 13130 13486 14443 15938 22220 24520 26260 26972 28886 31876 33715 39845 44440 52520 53944 57772 61913 63752 67430 72215 79690 87659 115544 123826 134860 144430 159380 175318 247652 269720 288860 309565 318760 350636 438295 495304 577720 619130 681043 701272 804869 876590 1238260 1362086 1609738 1753180 2476520 2724172 3219476 3405215 3506360 4024345 5448344 6438952 6810430 8048690 8853559 13620860 16097380 17707118 27241720 32194760 35414236 44267795 70828472 88535590 177071180 354142360