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4064097324 = 2237834631259
BaseRepresentation
bin1111001000111101…
…0011010000101100
3101111020022112110010
43302033103100230
531310402103244
61511135413220
7202466154150
oct36217232054
911436275403
104064097324
1117a6093521
12955084210
134c9ca4621
142a7a7b060
1518bbd6eb9
hexf23d342c

4064097324 has 96 divisors (see below), whose sum is σ = 11000586240. Its totient is φ = 1143793728.

The previous prime is 4064097311. The next prime is 4064097347. The reversal of 4064097324 is 4237904604.

4064097324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3227407 + ... + 3228665.

It is an arithmetic number, because the mean of its divisors is an integer number (114589440).

Almost surely, 24064097324 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 4064097324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500293120).

4064097324 is an abundant number, since it is smaller than the sum of its proper divisors (6936488916).

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

4064097324 is a wasteful number, since it uses less digits than its factorization.

4064097324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 4064097324 is about 63750.2731288267. The cubic root of 4064097324 is about 1595.8351740261.

The spelling of 4064097324 in words is "four billion, sixty-four million, ninety-seven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 463 498 581 926 996 1162 1259 1389 1743 1852 2324 2518 2778 3241 3486 3777 5036 5556 6482 6972 7554 8813 9723 12964 15108 17626 19446 26439 35252 38429 38892 52878 76858 104497 105756 115287 153716 208994 230574 269003 313491 417988 461148 538006 582917 626982 731479 807009 1076012 1165834 1253964 1462958 1614018 1748751 2194437 2331668 2925916 3228036 3497502 4080419 4388874 6995004 8160838 8777748 12241257 16321676 24482514 48382111 48965028 96764222 145146333 193528444 290292666 338674777 580585332 677349554 1016024331 1354699108 2032048662 4064097324