Search a number
-
+
34045232500 = 2254235571063
BaseRepresentation
bin11111101101010000…
…010000010101110100
310020212200010000011001
4133231100100111310
51024211034420000
623350135253044
72313446462416
oct375520202564
9106780100131
1034045232500
1113490712094
12672181a184
133297492bb6
14190d7b49b6
15d43d3646a
hex7ed410574

34045232500 has 120 divisors (see below), whose sum is σ = 77899764096. Its totient is φ = 12990384000.

The previous prime is 34045232497. The next prime is 34045232513. The reversal of 34045232500 is 523254043.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32026969 + ... + 32028031.

Almost surely, 234045232500 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 34045232500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38949882048).

34045232500 is an abundant number, since it is smaller than the sum of its proper divisors (43854531596).

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

34045232500 is a wasteful number, since it uses less digits than its factorization.

34045232500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 34045232500 its reverse (523254043), we get a palindrome (34568486543).

The spelling of 34045232500 in words is "thirty-four billion, forty-five million, two hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 125 230 250 460 500 557 575 625 1063 1114 1150 1250 2126 2228 2300 2500 2785 2875 4252 5315 5570 5750 10630 11140 11500 12811 13925 14375 21260 24449 25622 26575 27850 28750 48898 51244 53150 55700 57500 64055 69625 97796 106300 122245 128110 132875 139250 244490 256220 265750 278500 320275 348125 488980 531500 592091 611225 640550 664375 696250 1184182 1222450 1281100 1328750 1392500 1601375 2368364 2444900 2657500 2960455 3056125 3202750 5920910 6112250 6405500 8006875 11841820 12224500 13618093 14802275 15280625 16013750 27236186 29604550 30561250 32027500 54472372 59209100 61122500 68090465 74011375 136180930 148022750 272361860 296045500 340452325 370056875 680904650 740113750 1361809300 1480227500 1702261625 3404523250 6809046500 8511308125 17022616250 34045232500