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354036312 = 23337415711
BaseRepresentation
bin10101000110100…
…010101001011000
3220200011220112000
4111012202221120
51211113130222
655044121000
711526154560
oct2506425130
9820156460
10354036312
111719317a3
129a696160
135846a456
143503bda0
15211349ac
hex151a2a58

354036312 has 128 divisors (see below), whose sum is σ = 1151539200. Its totient is φ = 98668800.

The previous prime is 354036301. The next prime is 354036341. The reversal of 354036312 is 213630453.

It is a happy number.

It is a super-2 number, since 2×3540363122 = 250683420429122688, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 59137 + ... + 64847.

It is an arithmetic number, because the mean of its divisors is an integer number (8996400).

Almost surely, 2354036312 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 354036312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575769600).

354036312 is an abundant number, since it is smaller than the sum of its proper divisors (797502888).

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

354036312 is a wasteful number, since it uses less digits than its factorization.

354036312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5774 (or 5764 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 354036312 is about 18815.8526779947. The cubic root of 354036312 is about 707.4285823186.

Adding to 354036312 its reverse (213630453), we get a palindrome (567666765).

The spelling of 354036312 in words is "three hundred fifty-four million, thirty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 246 252 287 328 369 378 492 504 574 738 756 861 984 1107 1148 1476 1512 1722 2214 2296 2583 2952 3444 4428 5166 5711 6888 7749 8856 10332 11422 15498 17133 20664 22844 30996 34266 39977 45688 51399 61992 68532 79954 102798 119931 137064 154197 159908 205596 234151 239862 308394 319816 359793 411192 468302 479724 616788 702453 719586 936604 959448 1079379 1233576 1404906 1439172 1639057 1873208 2107359 2158758 2809812 2878344 3278114 4214718 4317516 4917171 5619624 6322077 6556228 8429436 8635032 9834342 12644154 13112456 14751513 16858872 19668684 25288308 29503026 39337368 44254539 50576616 59006052 88509078 118012104 177018156 354036312