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23404334000 = 2453291133571
BaseRepresentation
bin10101110011000000…
…011100101110110000
32020102002101100120012
4111303000130232300
5340413002142000
614430220034052
71455660361625
oct256300345660
966362340505
1023404334000
119a201555a3
124652092928
13228ca8a358
1411c04a034c
1591ea7c735
hex57301cbb0

23404334000 has 160 divisors (see below), whose sum is σ = 59077736640. Its totient is φ = 8956416000.

The previous prime is 23404333963. The next prime is 23404334003. The reversal of 23404334000 is 43340432.

23404334000 = 1262 + 1272 + ... + 41252.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (23404334003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6552215 + ... + 6555785.

It is an arithmetic number, because the mean of its divisors is an integer number (369235854).

Almost surely, 223404334000 is an apocalyptic number.

23404334000 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 23404334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29538868320).

23404334000 is an abundant number, since it is smaller than the sum of its proper divisors (35673402640).

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

23404334000 is a wasteful number, since it uses less digits than its factorization.

23404334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3720 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 23404334000 its reverse (43340432), we get a palindrome (23447674432).

The spelling of 23404334000 in words is "twenty-three billion, four hundred four million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 113 116 125 145 200 226 232 250 290 400 452 464 500 565 580 725 904 1000 1130 1160 1450 1808 2000 2260 2320 2825 2900 3277 3571 3625 4520 5650 5800 6554 7142 7250 9040 11300 11600 13108 14125 14284 14500 16385 17855 22600 26216 28250 28568 29000 32770 35710 45200 52432 56500 57136 58000 65540 71420 81925 89275 103559 113000 131080 142840 163850 178550 207118 226000 262160 285680 327700 357100 403523 409625 414236 446375 517795 655400 714200 807046 819250 828472 892750 1035590 1310800 1428400 1614092 1638500 1656944 1785500 2017615 2071180 2588975 3228184 3277000 3571000 4035230 4142360 5177950 6456368 6554000 7142000 8070460 8284720 10088075 10355900 11702167 12944875 16140920 20176150 20711800 23404334 25889750 32281840 40352300 41423600 46808668 50440375 51779500 58510835 80704600 93617336 100880750 103559000 117021670 161409200 187234672 201761500 207118000 234043340 292554175 403523000 468086680 585108350 807046000 936173360 1170216700 1462770875 2340433400 2925541750 4680866800 5851083500 11702167000 23404334000