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354426072 = 2337111314753
BaseRepresentation
bin10101001000000…
…001110011011000
3220200220201011120
4111020001303120
51211213113242
655100325240
711532400110
oct2510016330
9820821146
10354426072
11172078610
129a843820
1358575990
1435100040
15211b01ec
hex15201cd8

354426072 has 128 divisors (see below), whose sum is σ = 1189762560. Its totient is φ = 84971520.

The previous prime is 354426031. The next prime is 354426073. The reversal of 354426072 is 270624453.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354426073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16648 + ... + 31400.

It is an arithmetic number, because the mean of its divisors is an integer number (9295020).

Almost surely, 2354426072 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 354426072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594881280).

354426072 is an abundant number, since it is smaller than the sum of its proper divisors (835336488).

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

354426072 is a wasteful number, since it uses less digits than its factorization.

354426072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14793 (or 14789 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 354426072 is about 18826.2070529355. The cubic root of 354426072 is about 707.6880907679.

It can be divided in two parts, 35442 and 6072, that added together give a palindrome (41514).

The spelling of 354426072 in words is "three hundred fifty-four million, four hundred twenty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1848 2002 2184 3003 3432 4004 6006 8008 12012 14753 24024 29506 44259 59012 88518 103271 118024 162283 177036 191789 206542 309813 324566 354072 383578 413084 486849 575367 619626 649132 767156 826168 973698 1135981 1150734 1239252 1298264 1342523 1534312 1947396 2109679 2271962 2301468 2478504 2685046 3407943 3894792 4027569 4219358 4543924 4602936 5370092 6329037 6815886 8055138 8438716 9087848 10740184 12658074 13631772 14767753 16110276 16877432 25316148 27263544 29535506 32220552 44303259 50632296 59071012 88606518 118142024 177213036 354426072