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353663064 = 23335330893
BaseRepresentation
bin10101000101000…
…111100001011000
3220122110221112000
4111011013201120
51211014204224
655032121000
711523041436
oct2505074130
9818427460
10353663064
111716a7327
129a536160
13583695b1
1434d81d56
15210ae0c9
hex15147858

353663064 has 64 divisors (see below), whose sum is σ = 1000965600. Its totient is φ = 115659648.

The previous prime is 353663029. The next prime is 353663069. The reversal of 353663064 is 460366353.

It is a happy number.

353663064 is a `hidden beast` number, since 3 + 536 + 63 + 0 + 64 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353663069) 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, 3999 + ... + 26894.

Almost surely, 2353663064 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 353663064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500482800).

353663064 is an abundant number, since it is smaller than the sum of its proper divisors (647302536).

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

353663064 is a wasteful number, since it uses less digits than its factorization.

353663064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30961 (or 30951 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 353663064 is about 18805.9316174445. The cubic root of 353663064 is about 707.1798892321.

The spelling of 353663064 in words is "three hundred fifty-three million, six hundred sixty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 318 424 477 636 954 1272 1431 1908 2862 3816 5724 11448 30893 61786 92679 123572 185358 247144 278037 370716 556074 741432 834111 1112148 1637329 1668222 2224296 3274658 3336444 4911987 6549316 6672888 9823974 13098632 14735961 19647948 29471922 39295896 44207883 58943844 88415766 117887688 176831532 353663064