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2739894336 = 26347272
BaseRepresentation
bin1010001101001111…
…0111100001000000
321001221121001110000
42203103313201000
521102403104321
61131513240000
7124616501064
oct24323674100
97057531400
102739894336
111186665193
12645703000
1334884416a
141bdc59aa4
15110815826
hexa34f7840

2739894336 has 105 divisors (see below), whose sum is σ = 8133092319. Its totient is φ = 912041856.

The previous prime is 2739894329. The next prime is 2739894347. The reversal of 2739894336 is 6334989372.

The square root of 2739894336 is 52344.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3768405 + ... + 3769131.

Almost surely, 22739894336 is an apocalyptic number.

2739894336 is the 52344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2739894336

2739894336 is an abundant number, since it is smaller than the sum of its proper divisors (5393197983).

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

2739894336 is an frugal number, since it uses more digits than its factorization.

2739894336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 732 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The cubic root of 2739894336 is about 1399.3014092890.

The spelling of 2739894336 in words is "two billion, seven hundred thirty-nine million, eight hundred ninety-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 727 864 1296 1454 1728 2181 2592 2908 4362 5184 5816 6543 8724 11632 13086 17448 19629 23264 26172 34896 39258 46528 52344 58887 69792 78516 104688 117774 139584 157032 209376 235548 314064 418752 471096 528529 628128 942192 1057058 1256256 1585587 1884384 2114116 3171174 3768768 4228232 4756761 6342348 8456464 9513522 12684696 14270283 16912928 19027044 25369392 28540566 33825856 38054088 42810849 50738784 57081132 76108176 85621698 101477568 114162264 152216352 171243396 228324528 304432704 342486792 456649056 684973584 913298112 1369947168 2739894336