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2394102420 = 223451579413
BaseRepresentation
bin1000111010110011…
…0001101010010100
320011211221000010000
42032230301222110
514400342234140
61033321531300
7113220351303
oct21654615224
96154830100
102394102420
111019454646
12569943b30
132c2002468
14189d6643a
15e02ada30
hex8eb31a94

2394102420 has 120 divisors (see below), whose sum is σ = 7559027784. Its totient is φ = 634293504.

The previous prime is 2394102409. The next prime is 2394102437. The reversal of 2394102420 is 242014932.

2394102420 is a `hidden beast` number, since 2 + 3 + 9 + 410 + 242 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 734843664 + 1659258756 = 27108^2 + 40734^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 249634 + ... + 259046.

Almost surely, 22394102420 is an apocalyptic number.

2394102420 is a gapful number since it is divisible by the number (20) 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 2394102420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3779513892).

2394102420 is an abundant number, since it is smaller than the sum of its proper divisors (5164925364).

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

2394102420 is a wasteful number, since it uses less digits than its factorization.

2394102420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9591 (or 9580 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2394102420 is about 48929.5659085588. The cubic root of 2394102420 is about 1337.7683244233.

The spelling of 2394102420 in words is "two billion, three hundred ninety-four million, one hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 157 162 180 270 314 324 405 471 540 628 785 810 942 1413 1570 1620 1884 2355 2826 3140 4239 4710 5652 7065 8478 9413 9420 12717 14130 16956 18826 21195 25434 28239 28260 37652 42390 47065 50868 56478 63585 84717 84780 94130 112956 127170 141195 169434 188260 254151 254340 282390 338868 423585 508302 564780 762453 847170 1016604 1270755 1477841 1524906 1694340 2541510 2955682 3049812 3812265 4433523 5083020 5911364 7389205 7624530 8867046 13300569 14778410 15249060 17734092 22167615 26601138 29556820 39901707 44335230 53202276 66502845 79803414 88670460 119705121 133005690 159606828 199508535 239410242 266011380 399017070 478820484 598525605 798034140 1197051210 2394102420