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354044040 = 233571724793
BaseRepresentation
bin10101000110100…
…100100010001000
3220200012022010020
4111012210202020
51211113402130
655044220440
711526216240
oct2506444210
9820168106
10354044040
11171937589
129a69a720
1358470b1c
1435040b20
1521136e10
hex151a4888

354044040 has 128 divisors (see below), whose sum is σ = 1285320960. Its totient is φ = 76161024.

The previous prime is 354044039. The next prime is 354044077. The reversal of 354044040 is 40440453.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 354044040.

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, 1884 + ... + 26676.

It is an arithmetic number, because the mean of its divisors is an integer number (10041570).

Almost surely, 2354044040 is an apocalyptic number.

354044040 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 354044040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642660480).

354044040 is an abundant number, since it is smaller than the sum of its proper divisors (931276920).

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

354044040 is a wasteful number, since it uses less digits than its factorization.

354044040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24831 (or 24827 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 354044040 is about 18816.0580356248. The cubic root of 354044040 is about 707.4337295950.

Adding to 354044040 its reverse (40440453), we get a palindrome (394484493).

The spelling of 354044040 in words is "three hundred fifty-four million, forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 14280 24793 49586 74379 99172 123965 148758 173551 198344 247930 297516 347102 371895 421481 495860 520653 595032 694204 743790 842962 867755 991720 1041306 1264443 1388408 1487580 1685924 1735510 2082612 2107405 2528886 2603265 2950367 2975160 3371848 3471020 4165224 4214810 5057772 5206530 5900734 6322215 6942040 8429620 8851101 10115544 10413060 11801468 12644430 14751835 16859240 17702202 20826120 23602936 25288860 29503670 35404404 44255505 50577720 59007340 70808808 88511010 118014680 177022020 354044040