Search a number
-
+
23434795120 = 24511176912267
BaseRepresentation
bin10101110100110100…
…101001100001110000
32020111012200221100211
4111310310221201300
5340443301420440
614433224553504
71456510320562
oct256464514160
966435627324
1023434795120
119a36370480
124660322894
132296194199
1411c454d332
15922597eea
hex574d29870

23434795120 has 160 divisors (see below), whose sum is σ = 63054464256. Its totient is φ = 8005324800.

The previous prime is 23434795079. The next prime is 23434795121. The reversal of 23434795120 is 2159743432.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23434795121) 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, 10336227 + ... + 10338493.

Almost surely, 223434795120 is an apocalyptic number.

23434795120 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 23434795120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31527232128).

23434795120 is an abundant number, since it is smaller than the sum of its proper divisors (39619669136).

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

23434795120 is a wasteful number, since it uses less digits than its factorization.

23434795120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2993 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 23434795120 in words is "twenty-three billion, four hundred thirty-four million, seven hundred ninety-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 691 748 880 935 1360 1382 1496 1870 2267 2764 2992 3455 3740 4534 5528 6910 7480 7601 9068 11056 11335 11747 13820 14960 15202 18136 22670 23494 24937 27640 30404 36272 38005 38539 45340 46988 49874 55280 58735 60808 76010 77078 90680 93976 99748 117470 121616 124685 129217 152020 154156 181360 187952 192695 199496 234940 249370 258434 304040 308312 385390 398992 423929 469880 498740 516868 608080 616624 646085 770780 847858 939760 997480 1033736 1292170 1541560 1566497 1695716 1994960 2067472 2119645 2584340 3083120 3132994 3391432 4239290 5168680 6265988 6782864 7832485 8478580 10337360 12531976 15664970 16957160 17231467 25063952 26630449 31329940 33914320 34462934 53260898 62659880 68925868 86157335 106521796 125319760 133152245 137851736 172314670 213043592 266304490 275703472 292934939 344629340 426087184 532608980 585869878 689258680 1065217960 1171739756 1378517360 1464674695 2130435920 2343479512 2929349390 4686959024 5858698780 11717397560 23434795120