Search a number
-
+
3384821820924 = 2232223421627033
BaseRepresentation
bin110001010000010111000…
…110100010110111111100
3102222120211001102021000100
4301100113012202313330
5420424103341232144
611110544330401100
7466355016523125
oct61202706426774
912876731367010
103384821820924
111095549748525
12468001b90190
131b725873809b
14b9b7d33304c
155d0a887e269
hex314171a2dfc

3384821820924 has 36 divisors (see below), whose sum is σ = 8594445461056. Its totient is φ = 1123214413248.

The previous prime is 3384821820923. The next prime is 3384821820937. The reversal of 3384821820924 is 4290281284833.

3384821820924 is a `hidden beast` number, since 3 + 384 + 8 + 218 + 20 + 9 + 24 = 666.

3384821820924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33848218209242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384821820923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210805489 + ... + 210821544.

Almost surely, 23384821820924 is an apocalyptic number.

It is an amenable number.

3384821820924 is an abundant number, since it is smaller than the sum of its proper divisors (5209623640132).

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

3384821820924 is a wasteful number, since it uses less digits than its factorization.

3384821820924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421627266 (or 421627261 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 3384821820924 in words is "three trillion, three hundred eighty-four billion, eight hundred twenty-one million, eight hundred twenty thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 223 446 669 892 1338 2007 2676 4014 8028 421627033 843254066 1264881099 1686508132 2529762198 3794643297 5059524396 7589286594 15178573188 94022828359 188045656718 282068485077 376091313436 564136970154 846205455231 1128273940308 1692410910462 3384821820924