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34454320120 = 235116110911777
BaseRepresentation
bin100000000101101000…
…110011001111111000
310021221011212210212101
4200011220303033320
51031030301220440
623454511353144
72326544613613
oct400550631770
9107834783771
1034454320120
1113680624730
1268168227b4
13333116698c
14194bc6317a
15d69be269a
hex805a333f8

34454320120 has 128 divisors (see below), whose sum is σ = 86752036800. Its totient is φ = 12209356800.

The previous prime is 34454320081. The next prime is 34454320129. The reversal of 34454320120 is 2102345443.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34454320129) 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, 2919672 + ... + 2931448.

Almost surely, 234454320120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34454320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43376018400).

34454320120 is an abundant number, since it is smaller than the sum of its proper divisors (52297716680).

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

34454320120 is a wasteful number, since it uses less digits than its factorization.

34454320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11969 (or 11965 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 34454320120 its reverse (2102345443), we get a palindrome (36556665563).

The spelling of 34454320120 in words is "thirty-four billion, four hundred fifty-four million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 109 110 122 218 220 244 305 436 440 488 545 610 671 872 1090 1199 1220 1342 2180 2398 2440 2684 3355 4360 4796 5368 5995 6649 6710 9592 11777 11990 13298 13420 23554 23980 26596 26840 33245 47108 47960 53192 58885 66490 73139 94216 117770 129547 132980 146278 235540 259094 265960 292556 365695 471080 518188 585112 647735 718397 731390 1036376 1283693 1295470 1436794 1462780 2567386 2590940 2873588 2925560 3591985 5134772 5181880 5747176 6418465 7183970 7902367 10269544 12836930 14120623 14367940 15804734 25673860 28241246 28735880 31609468 39511835 51347720 56482492 63218936 70603115 78305273 79023670 112964984 141206230 156610546 158047340 282412460 313221092 316094680 391526365 564824920 626442184 783052730 861358003 1566105460 1722716006 3132210920 3445432012 4306790015 6890864024 8613580030 17227160060 34454320120