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351337428 = 223213750721
BaseRepresentation
bin10100111100001…
…111101111010100
3220111002210100100
4110330033233110
51204420244203
654510214100
711464214241
oct2474175724
9814083310
10351337428
11170359012
12997b4330
1357a33b90
14349385c8
1520c9eea3
hex14f0fbd4

351337428 has 36 divisors (see below), whose sum is σ = 956419828. Its totient is φ = 108103680.

The previous prime is 351337421. The next prime is 351337447. The reversal of 351337428 is 824733153.

It can be written as a sum of positive squares in 2 ways, for example, as 218211984 + 133125444 = 14772^2 + 11538^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 351337392 and 351337401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351337421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 374893 + ... + 375828.

Almost surely, 2351337428 is an apocalyptic number.

It is an amenable number.

351337428 is an abundant number, since it is smaller than the sum of its proper divisors (605082400).

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

351337428 is a wasteful number, since it uses less digits than its factorization.

351337428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750744 (or 750739 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 351337428 is about 18743.9971190779. The cubic root of 351337428 is about 705.6263755624.

The spelling of 351337428 in words is "three hundred fifty-one million, three hundred thirty-seven thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 750721 1501442 2252163 3002884 4504326 6756489 9008652 9759373 13512978 19518746 27025956 29278119 39037492 58556238 87834357 117112476 175668714 351337428