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34073525928 = 23313412719829
BaseRepresentation
bin11111101110111100…
…001011111010101000
310020221122100110102210
4133232330023322220
51024240310312203
623353025525120
72314242122511
oct375674137250
9106848313383
1034073525928
11134a5687392
12672b1a37a0
1332a02bb180
14191345ba08
15d46574803
hex7eef0bea8

34073525928 has 128 divisors (see below), whose sum is σ = 94330252800. Its totient is φ = 10189670400.

The previous prime is 34073525903. The next prime is 34073525929. The reversal of 34073525928 is 82952537043.

It is a super-2 number, since 2×340735259282 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34073525929) 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, 3461718 + ... + 3471546.

It is an arithmetic number, because the mean of its divisors is an integer number (736955100).

Almost surely, 234073525928 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 34073525928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47165126400).

34073525928 is an abundant number, since it is smaller than the sum of its proper divisors (60256726872).

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

34073525928 is a wasteful number, since it uses less digits than its factorization.

34073525928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10163 (or 10159 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

It can be divided in two parts, 340735 and 25928, that added together give a palindrome (366663).

The spelling of 34073525928 in words is "thirty-four billion, seventy-three million, five hundred twenty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 271 312 328 492 533 542 813 984 1066 1084 1599 1626 2132 2168 3198 3252 3523 4264 6396 6504 7046 9829 10569 11111 12792 14092 19658 21138 22222 28184 29487 33333 39316 42276 44444 58974 66666 78632 84552 88888 117948 127777 133332 144443 235896 255554 266664 288886 383331 402989 433329 511108 577772 766662 805978 866658 1022216 1155544 1208967 1533324 1611956 1733316 2417934 2663659 3066648 3223912 3466632 4835868 5238857 5327318 7990977 9671736 10477714 10654636 15716571 15981954 20955428 21309272 31433142 31963908 34627567 41910856 62866284 63927816 69255134 103882701 109210019 125732568 138510268 207765402 218420038 277020536 327630057 415530804 436840076 655260114 831061608 873680152 1310520228 1419730247 2621040456 2839460494 4259190741 5678920988 8518381482 11357841976 17036762964 34073525928