Search a number
-
+
1900363374 = 232731323677
BaseRepresentation
bin111000101000101…
…0011111001101110
311220102212110110200
41301101103321232
512342443111444
6512323214330
765043552000
oct16121237156
94812773420
101900363374
11895784148
124505173a6
13243930090
14140560370
15b1c80969
hex71453e6e

1900363374 has 96 divisors (see below), whose sum is σ = 5171275200. Its totient is φ = 501173568.

The previous prime is 1900363363. The next prime is 1900363397. The reversal of 1900363374 is 4733630091.

1900363374 is a `hidden beast` number, since 19 + 0 + 0 + 3 + 633 + 7 + 4 = 666.

It is a super-2 number, since 2×19003633742 = 7222761906481327752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 68424 + ... + 92100.

It is an arithmetic number, because the mean of its divisors is an integer number (53867450).

Almost surely, 21900363374 is an apocalyptic number.

1900363374 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1900363374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585637600).

1900363374 is an abundant number, since it is smaller than the sum of its proper divisors (3270911826).

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

1900363374 is a wasteful number, since it uses less digits than its factorization.

1900363374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23719 (or 23702 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 1900363374 is about 43593.1574217789. The cubic root of 1900363374 is about 1238.6412827284.

The spelling of 1900363374 in words is "one billion, nine hundred million, three hundred sixty-three thousand, three hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 343 441 546 637 686 819 882 1029 1274 1638 1911 2058 3087 3822 4459 5733 6174 8918 11466 13377 23677 26754 40131 47354 71031 80262 142062 165739 213093 307801 331478 426186 497217 615602 923403 994434 1160173 1491651 1846806 2154607 2320346 2770209 2983302 3480519 4309214 5540418 6463821 6961038 8121211 10441557 12927642 15082249 16242422 19391463 20883114 24363633 30164498 38782926 45246747 48727266 73090899 90493494 105575743 135740241 146181798 211151486 271480482 316727229 633454458 950181687 1900363374