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34012454520 = 23351159436729
BaseRepresentation
bin11111101011010011…
…001101111001111000
310020210101102201012210
4133223103031321320
51024124142021040
623343004535120
72312601043662
oct375323157170
9106711381183
1034012454520
1113474164550
1267128514a0
133290757645
1419092c1532
15d4100e480
hex7eb4cde78

34012454520 has 128 divisors (see below), whose sum is σ = 113200416000. Its totient is φ = 8105671680.

The previous prime is 34012454519. The next prime is 34012454551. The reversal of 34012454520 is 2545421043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140485 + ... + 296244.

It is an arithmetic number, because the mean of its divisors is an integer number (884378250).

Almost surely, 234012454520 is an apocalyptic number.

34012454520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34012454520 is an abundant number, since it is smaller than the sum of its proper divisors (79187961480).

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

34012454520 is a wasteful number, since it uses less digits than its factorization.

34012454520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436813 (or 436809 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 34012454520 its reverse (2545421043), we get a palindrome (36557875563).

The spelling of 34012454520 in words is "thirty-four billion, twelve million, four hundred fifty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 59 60 66 88 110 118 120 132 165 177 220 236 264 295 330 354 440 472 590 649 660 708 885 1180 1298 1320 1416 1770 1947 2360 2596 3245 3540 3894 5192 6490 7080 7788 9735 12980 15576 19470 25960 38940 77880 436729 873458 1310187 1746916 2183645 2620374 3493832 4367290 4804019 5240748 6550935 8734580 9608038 10481496 13101870 14412057 17469160 19216076 24020095 25767011 26203740 28824114 38432152 48040190 51534022 52407480 57648228 72060285 77301033 96080380 103068044 115296456 128835055 144120570 154602066 192160760 206136088 257670110 283437121 288241140 309204132 386505165 515340220 566874242 576482280 618408264 773010330 850311363 1030680440 1133748484 1417185605 1546020660 1700622726 2267496968 2834371210 3092041320 3401245452 4251556815 5668742420 6802490904 8503113630 11337484840 17006227260 34012454520