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2038130352 = 2432671511399
BaseRepresentation
bin111100101111011…
…0110011010110000
312021001002202020100
41321132312122300
513133230132402
6534124112400
7101335551666
oct17136663260
95231082210
102038130352
11956520555
1248a695700
13266337bbb
14154982c36
15bdde571c
hex797b66b0

2038130352 has 120 divisors (see below), whose sum is σ = 5831571200. Its totient is φ = 664329600.

The previous prime is 2038130351. The next prime is 2038130429. The reversal of 2038130352 is 2530318302.

2038130352 is a `hidden beast` number, since 203 + 81 + 30 + 352 = 666.

It is not an unprimeable number, because it can be changed into a prime (2038130351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1456149 + ... + 1457547.

Almost surely, 22038130352 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 2038130352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915785600).

2038130352 is an abundant number, since it is smaller than the sum of its proper divisors (3793440848).

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

2038130352 is a wasteful number, since it uses less digits than its factorization.

2038130352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2038130352 is about 45145.6570668763. The cubic root of 2038130352 is about 1267.8775701369.

Adding to 2038130352 its reverse (2530318302), we get a palindrome (4568448654).

The spelling of 2038130352 in words is "two billion, thirty-eight million, one hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 151 201 268 302 402 453 536 603 604 804 906 1072 1206 1208 1359 1399 1608 1812 2412 2416 2718 2798 3216 3624 4197 4824 5436 5596 7248 8394 9648 10117 10872 11192 12591 16788 20234 21744 22384 25182 30351 33576 40468 50364 60702 67152 80936 91053 93733 100728 121404 161872 182106 187466 201456 211249 242808 281199 364212 374932 422498 485616 562398 633747 728424 749864 843597 844996 1124796 1267494 1456848 1499728 1687194 1689992 1901241 2249592 2534988 3374388 3379984 3802482 4499184 5069976 6748776 7604964 10139952 13497552 14153683 15209928 28307366 30419856 42461049 56614732 84922098 113229464 127383147 169844196 226458928 254766294 339688392 509532588 679376784 1019065176 2038130352