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3196319296 = 263721912
BaseRepresentation
bin1011111010000011…
…1111011001000000
322020202102211210011
42332200333121000
523021224204141
61245100114304
7142131160102
oct27640773100
98222384704
103196319296
1113a0269aa5
12752535994
133bc2803c1
1422470b572
1513a922881
hexbe83f640

3196319296 has 63 divisors (see below), whose sum is σ = 6553061697. Its totient is φ = 1546824960.

The previous prime is 3196319279. The next prime is 3196319411. The reversal of 3196319296 is 6929136913.

The square root of 3196319296 is 56536.

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

3196319296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2860110400 + 336208896 = 53480^2 + 18336^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16734561 + ... + 16734751.

Almost surely, 23196319296 is an apocalyptic number.

3196319296 is the 56536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3196319296

3196319296 is an abundant number, since it is smaller than the sum of its proper divisors (3356742401).

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

3196319296 is an frugal number, since it uses more digits than its factorization.

3196319296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 230 counting only the distinct ones).

The product of its digits is 472392, while the sum is 49.

The cubic root of 3196319296 is about 1473.0473898009.

Multiplying 3196319296 by its sum of digits (49), we get a square (156619645504 = 3957522).

The spelling of 3196319296 in words is "three billion, one hundred ninety-six million, three hundred nineteen thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 148 191 296 382 592 764 1184 1369 1528 2368 2738 3056 5476 6112 7067 10952 12224 14134 21904 28268 36481 43808 56536 72962 87616 113072 145924 226144 261479 291848 452288 522958 583696 1045916 1167392 1349797 2091832 2334784 2699594 4183664 5399188 8367328 10798376 16734656 21596752 43193504 49942489 86387008 99884978 199769956 399539912 799079824 1598159648 3196319296