Search a number
-
+
23404629420 = 22325413171359
BaseRepresentation
bin10101110011000001…
…100100110110101100
32020102002221100210200
4111303001210312230
5340413041120140
614430230233500
71455663032124
oct256301446654
966362840720
1023404629420
119a20337547
1246521b5890
13228cb61963
1411c0539c84
1591eada030
hex573064dac

23404629420 has 72 divisors (see below), whose sum is σ = 72725627520. Its totient is φ = 6089007360.

The previous prime is 23404629371. The next prime is 23404629491. The reversal of 23404629420 is 2492640432.

23404629420 is a `hidden beast` number, since 2 + 3 + 4 + 0 + 4 + 629 + 4 + 20 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1578300 + ... + 1593059.

It is an arithmetic number, because the mean of its divisors is an integer number (1010078160).

Almost surely, 223404629420 is an apocalyptic number.

23404629420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23404629420 is an abundant number, since it is smaller than the sum of its proper divisors (49320998100).

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

23404629420 is a wasteful number, since it uses less digits than its factorization.

23404629420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3171415 (or 3171410 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 23404629420 in words is "twenty-three billion, four hundred four million, six hundred twenty-nine thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 3171359 6342718 9514077 12685436 15856795 19028154 28542231 31713590 38056308 47570385 57084462 63427180 95140770 114168924 130025719 142711155 190281540 260051438 285422310 390077157 520102876 570844620 650128595 780154314 1170231471 1300257190 1560308628 1950385785 2340462942 2600514380 3900771570 4680925884 5851157355 7801543140 11702314710 23404629420