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2394004932 = 223211371091499
BaseRepresentation
bin1000111010110001…
…1001110111000100
320011211202001101100
42032230121313010
514400331124212
61033315500100
7113216464134
oct21654316704
96154661340
102394004932
111019398380
125698b7630
132c1c99c87
14189d3cac4
15e028ebdc
hex8eb19dc4

2394004932 has 144 divisors (see below), whose sum is σ = 6846840000. Its totient is φ = 698906880.

The previous prime is 2394004843. The next prime is 2394004999.

2394004932 is nontrivially palindromic in base 10.

2394004932 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23940049322 = 11462519228880649248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1596319 + ... + 1597817.

It is an arithmetic number, because the mean of its divisors is an integer number (47547500).

Almost surely, 22394004932 is an apocalyptic number.

2394004932 is a gapful number since it is divisible by the number (22) 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 2394004932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3423420000).

2394004932 is an abundant number, since it is smaller than the sum of its proper divisors (4452835068).

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

2394004932 is a wasteful number, since it uses less digits than its factorization.

2394004932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 2394004932 is about 48928.5696909280. The cubic root of 2394004932 is about 1337.7501661736.

The spelling of 2394004932 in words is "two billion, three hundred ninety-four million, four thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 109 111 132 148 198 218 222 327 333 396 407 436 444 654 666 814 981 1199 1221 1308 1332 1499 1628 1962 2398 2442 2998 3597 3663 3924 4033 4497 4796 4884 5996 7194 7326 8066 8994 10791 12099 13491 14388 14652 16132 16489 17988 21582 24198 26982 32978 36297 43164 44363 48396 49467 53964 55463 65956 72594 88726 98934 110926 133089 145188 148401 163391 166389 177452 197868 221852 266178 296802 326782 332778 399267 490173 499167 532356 593604 610093 653564 665556 798534 980346 998334 1220186 1470519 1597068 1797301 1830279 1960692 1996668 2440372 2941038 3594602 3660558 5391903 5490837 5882076 6045467 7189204 7321116 10783806 10981674 12090934 16175709 18136401 21567612 21963348 24181868 32351418 36272802 54409203 64702836 66500137 72545604 108818406 133000274 199500411 217636812 266000548 399000822 598501233 798001644 1197002466 2394004932