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3073079296 = 21172113271
BaseRepresentation
bin1011011100101011…
…0111100000000000
321221011112121021201
42313022313200000
522243202014141
61224534430544
7136103512600
oct26712674000
97834477251
103073079296
111337744a61
12719202454
1339c890821
142121cac00
1512ebcc031
hexb72b7800

3073079296 has 144 divisors (see below), whose sum is σ = 7237732320. Its totient is φ = 1300561920.

The previous prime is 3073079291. The next prime is 3073079311. The reversal of 3073079296 is 6929703703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3073079291) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11339641 + ... + 11339911.

It is an arithmetic number, because the mean of its divisors is an integer number (50262030).

Almost surely, 23073079296 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 3073079296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618866160).

3073079296 is an abundant number, since it is smaller than the sum of its proper divisors (4164653024).

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

3073079296 is a wasteful number, since it uses less digits than its factorization.

3073079296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 46.

The square root of 3073079296 is about 55435.3614221103. The cubic root of 3073079296 is about 1453.8666983415.

The spelling of 3073079296 in words is "three billion, seventy-three million, seventy-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 113 128 196 224 226 256 271 392 448 452 512 542 784 791 896 904 1024 1084 1568 1582 1792 1808 1897 2048 2168 3136 3164 3584 3616 3794 4336 5537 6272 6328 7168 7232 7588 8672 11074 12544 12656 13279 14336 14464 15176 17344 22148 25088 25312 26558 28928 30352 30623 34688 44296 50176 50624 53116 57856 60704 61246 69376 88592 100352 101248 106232 115712 121408 122492 138752 177184 202496 212464 214361 231424 242816 244984 277504 354368 404992 424928 428722 485632 489968 555008 708736 809984 849856 857444 971264 979936 1417472 1500527 1619968 1699712 1714888 1942528 1959872 2834944 3001054 3399424 3429776 3885056 3919744 5669888 6002108 6798848 6859552 7839488 11339776 12004216 13597696 13719104 15678976 24008432 27195392 27438208 31357952 48016864 54876416 62715904 96033728 109752832 192067456 219505664 384134912 439011328 768269824 1536539648 3073079296