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38239020304 = 24192312832
BaseRepresentation
bin100011100111001110…
…010010010100010000
310122200221110111111021
4203213032102110100
51111303142122204
625322230525224
72522412211132
oct434716222420
9118627414437
1038239020304
1115242a25a21
1274b2206814
1337b52a5144
141bca771052
15edc0da154
hex8e7392510

38239020304 has 135 divisors (see below), whose sum is σ = 81781596279. Its totient is φ = 17317730880.

The previous prime is 38239020299. The next prime is 38239020307. The reversal of 38239020304 is 40302093283.

The square root of 38239020304 is 195548.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 38239020304.

It is not an unprimeable number, because it can be changed into a prime (38239020307) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 460711047 + ... + 460711129.

Almost surely, 238239020304 is an apocalyptic number.

38239020304 is the 195548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38239020304

38239020304 is an abundant number, since it is smaller than the sum of its proper divisors (43542575975).

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

38239020304 is an equidigital number, since it uses as much as digits as its factorization.

38239020304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 38239020304 in words is "thirty-eight billion, two hundred thirty-nine million, twenty thousand, three hundred four".

Divisors: 1 2 4 8 16 19 31 38 62 76 83 124 152 166 248 304 332 361 496 589 664 722 961 1178 1328 1444 1577 1922 2356 2573 2888 3154 3844 4712 5146 5776 6308 6889 7688 9424 10292 11191 12616 13778 15376 18259 20584 22382 25232 27556 29963 36518 41168 44764 48887 55112 59926 73036 79763 89528 97774 110224 119852 130891 146072 159526 179056 195548 213559 239704 261782 292144 319052 346921 391096 427118 479408 523564 638104 693842 782192 854236 928853 1047128 1276208 1387684 1515497 1708472 1857706 2094256 2486929 2775368 3030994 3416944 3715412 4057621 4973858 5550736 6061988 6620329 7430824 8115242 9947716 12123976 13240658 14861648 16230484 19895432 24247952 26481316 28794443 32460968 39790864 52962632 57588886 64921936 77094799 105925264 115177772 125786251 154189598 230355544 251572502 308379196 460711088 503145004 616758392 1006290008 1233516784 2012580016 2389938769 4779877538 9559755076 19119510152 38239020304