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2073430968 = 233783241617
BaseRepresentation
bin111101110010110…
…0000101110111000
312100111112012120120
41323211200232320
513221244242333
6541424453240
7102244605150
oct17345405670
95314465516
102073430968
11974441414
1249a47a220
1327074773b
14159531760
15c2069db3
hex7b960bb8

2073430968 has 128 divisors (see below), whose sum is σ = 6030097920. Its totient is φ = 581898240.

The previous prime is 2073430943. The next prime is 2073430973. The reversal of 2073430968 is 8690343702.

It is a super-2 number, since 2×20734309682 = 8598231958122834048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 3360196 + ... + 3360812.

It is an arithmetic number, because the mean of its divisors is an integer number (47110140).

Almost surely, 22073430968 is an apocalyptic number.

2073430968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2073430968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015048960).

2073430968 is an abundant number, since it is smaller than the sum of its proper divisors (3956666952).

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

2073430968 is a wasteful number, since it uses less digits than its factorization.

2073430968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 2073430968 is about 45534.9422751364. The cubic root of 2073430968 is about 1275.1556325206.

The spelling of 2073430968 in words is "two billion, seventy-three million, four hundred thirty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 241 249 332 482 498 581 617 664 723 964 996 1162 1234 1446 1687 1743 1851 1928 1992 2324 2468 2892 3374 3486 3702 4319 4648 4936 5061 5784 6748 6972 7404 8638 10122 12957 13496 13944 14808 17276 20003 20244 25914 34552 40006 40488 51211 51828 60009 80012 102422 103656 120018 140021 148697 153633 160024 204844 240036 280042 297394 307266 358477 409688 420063 446091 480072 560084 594788 614532 716954 840126 892182 1040879 1075431 1120168 1189576 1229064 1433908 1680252 1784364 2081758 2150862 2867816 3122637 3360504 3568728 4163516 4301724 6245274 8327032 8603448 12341851 12490548 24683702 24981096 37025553 49367404 74051106 86392957 98734808 148102212 172785914 259178871 296204424 345571828 518357742 691143656 1036715484 2073430968