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234124240400 = 245223157162091
BaseRepresentation
bin1101101000001011100…
…1000110011000010000
3211101022112001201002222
43122002321012120100
512313441301143100
6255315531000212
722625550131231
oct3320271063020
9741275051088
10234124240400
1190323037076
123945b899068
1319101c859bb
14b490181088
1561541b5485
hex3682e46610

234124240400 has 120 divisors (see below), whose sum is σ = 590681402304. Its totient is φ = 89006860800.

The previous prime is 234124240387. The next prime is 234124240409. The reversal of 234124240400 is 4042421432.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 234124240400.

It is not an unprimeable number, because it can be changed into a prime (234124240409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1363355 + ... + 1525445.

Almost surely, 2234124240400 is an apocalyptic number.

234124240400 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 234124240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295340701152).

234124240400 is an abundant number, since it is smaller than the sum of its proper divisors (356557161904).

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

234124240400 is a wasteful number, since it uses less digits than its factorization.

234124240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162289 (or 162278 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 234124240400 its reverse (4042421432), we get a palindrome (238166661832).

The spelling of 234124240400 in words is "two hundred thirty-four billion, one hundred twenty-four million, two hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 157 184 200 230 314 368 400 460 575 628 785 920 1150 1256 1570 1840 2300 2512 3140 3611 3925 4600 6280 7222 7850 9200 12560 14444 15700 18055 28888 31400 36110 57776 62800 72220 90275 144440 162091 180550 288880 324182 361100 648364 722200 810455 1296728 1444400 1620910 2593456 3241820 3728093 4052275 6483640 7456186 8104550 12967280 14912372 16209100 18640465 25448287 29824744 32418200 37280930 50896574 59649488 64836400 74561860 93202325 101793148 127241435 149123720 186404650 203586296 254482870 298247440 372809300 407172592 508965740 585310601 636207175 745618600 1017931480 1170621202 1272414350 1491237200 2035862960 2341242404 2544828700 2926553005 4682484808 5089657400 5853106010 9364969616 10179314800 11706212020 14632765025 23412424040 29265530050 46824848080 58531060100 117062120200 234124240400