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2932434336 = 253133175797
BaseRepresentation
bin1010111011001001…
…0110010110100000
321120100220002200010
42232302112112200
522001200344321
61202552124520
7132445165146
oct25662262640
97510802603
102932434336
111275312357
1269a096740
133796b8a60
141db659596
15122699676
hexaec965a0

2932434336 has 96 divisors (see below), whose sum is σ = 8557291008. Its totient is φ = 873169920.

The previous prime is 2932434299. The next prime is 2932434341. The reversal of 2932434336 is 6334342392.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×29324343362 = 17198342269903521792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2932434294 and 2932434303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 790 + ... + 76586.

It is an arithmetic number, because the mean of its divisors is an integer number (89138448).

Almost surely, 22932434336 is an apocalyptic number.

2932434336 is a gapful number since it is divisible by the number (26) 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 2932434336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278645504).

2932434336 is an abundant number, since it is smaller than the sum of its proper divisors (5624856672).

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

2932434336 is a wasteful number, since it uses less digits than its factorization.

2932434336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75854 (or 75846 counting only the distinct ones).

The product of its digits is 279936, while the sum is 39.

The square root of 2932434336 is about 54151.9559757540. The cubic root of 2932434336 is about 1431.3398588510.

The spelling of 2932434336 in words is "two billion, nine hundred thirty-two million, four hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 9672 12896 19344 38688 75797 151594 227391 303188 454782 606376 909564 985361 1212752 1819128 1970722 2349707 2425504 2956083 3638256 3941444 4699414 5912166 7049121 7276512 7882888 9398828 11824332 14098242 15765776 18797656 23648664 28196484 30546191 31531552 37595312 47297328 56392968 61092382 75190624 91638573 94594656 112785936 122184764 183277146 225571872 244369528 366554292 488739056 733108584 977478112 1466217168 2932434336