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354278064 = 24373832753
BaseRepresentation
bin10101000111011…
…101101010110000
3220200122012010210
4111013131222300
51211143344224
655053224120
711531212440
oct2507355260
9820565123
10354278064
11171a87398
129a792040
13585234ba
14350a2120
1521181429
hex151ddab0

354278064 has 80 divisors (see below), whose sum is σ = 1049075712. Its totient is φ = 100921344.

The previous prime is 354278063. The next prime is 354278087. The reversal of 354278064 is 460872453.

It is a happy number.

It is a super-3 number, since 3×3542780643 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (354278063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127312 + ... + 130064.

Almost surely, 2354278064 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 354278064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524537856).

354278064 is an abundant number, since it is smaller than the sum of its proper divisors (694797648).

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

354278064 is a wasteful number, since it uses less digits than its factorization.

354278064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 354278064 is about 18822.2757391342. The cubic root of 354278064 is about 707.5895670880.

The spelling of 354278064 in words is "three hundred fifty-four million, two hundred seventy-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 383 766 1149 1532 2298 2681 2753 3064 4596 5362 5506 6128 8043 8259 9192 10724 11012 16086 16518 18384 19271 21448 22024 32172 33036 38542 42896 44048 57813 64344 66072 77084 115626 128688 132144 154168 231252 308336 462504 925008 1054399 2108798 3163197 4217596 6326394 7380793 8435192 12652788 14761586 16870384 22142379 25305576 29523172 44284758 50611152 59046344 88569516 118092688 177139032 354278064