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37803434346 = 234353661061
BaseRepresentation
bin100011001101010000…
…101010000101101010
310121120120211102220000
4203031100222011222
51104410134344341
625211110443430
72505542614206
oct431520520552
9117516742800
1037803434346
111503a064827
1273b0363576
133745c84182
141b88985b06
15eb3c478b6
hex8cd42a16a

37803434346 has 40 divisors (see below), whose sum is σ = 84947789124. Its totient is φ = 12565428480.

The previous prime is 37803434309. The next prime is 37803434351. The reversal of 37803434346 is 64343430873.

It can be written as a sum of positive squares in 2 ways, for example, as 37181480625 + 621953721 = 192825^2 + 24939^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 273345 + ... + 387716.

Almost surely, 237803434346 is an apocalyptic number.

37803434346 is an abundant number, since it is smaller than the sum of its proper divisors (47144354778).

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

37803434346 is a wasteful number, since it uses less digits than its factorization.

37803434346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661428 (or 661419 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 37803434346 in words is "thirty-seven billion, eight hundred three million, four hundred thirty-four thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 353 706 1059 2118 3177 6354 9531 19062 28593 57186 661061 1322122 1983183 3966366 5949549 11899098 17848647 35697294 53545941 107091882 233354533 466709066 700063599 1400127198 2100190797 4200381594 6300572391 12601144782 18901717173 37803434346