Search a number
-
+
34213415250 = 2353716739023
BaseRepresentation
bin11111110111010001…
…110100100101010010
310021022101120120111210
4133313101310211102
51030032113242000
623414544120550
72320561142220
oct376721644522
9107271516453
1034213415250
11135676432a3
12676a006156
1332c328a011
141927c73b10
15d539a8350
hex7f7474952

34213415250 has 128 divisors (see below), whose sum is σ = 98183135232. Its totient is φ = 7773182400.

The previous prime is 34213415209. The next prime is 34213415281. The reversal of 34213415250 is 5251431243.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 857239 + ... + 896261.

It is an arithmetic number, because the mean of its divisors is an integer number (767055744).

Almost surely, 234213415250 is an apocalyptic number.

34213415250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34213415250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49091567616).

34213415250 is an abundant number, since it is smaller than the sum of its proper divisors (63969719982).

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

34213415250 is a wasteful number, since it uses less digits than its factorization.

34213415250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39217 (or 39207 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 34213415250 its reverse (5251431243), we get a palindrome (39464846493).

The spelling of 34213415250 in words is "thirty-four billion, two hundred thirteen million, four hundred fifteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 167 175 210 250 334 350 375 501 525 750 835 875 1002 1050 1169 1670 1750 2338 2505 2625 3507 4175 5010 5250 5845 7014 8350 11690 12525 17535 20875 25050 29225 35070 39023 41750 58450 62625 78046 87675 117069 125250 146125 175350 195115 234138 273161 292250 390230 438375 546322 585345 819483 876750 975575 1170690 1365805 1638966 1951150 2731610 2926725 4097415 4877875 5853450 6516841 6829025 8194830 9755750 13033682 13658050 14633625 19550523 20487075 29267250 32584205 34145125 39101046 40974150 45617887 65168410 68290250 91235774 97752615 102435375 136853661 162921025 195505230 204870750 228089435 273707322 325842050 456178870 488763075 684268305 814605125 977526150 1140447175 1368536610 1629210250 2280894350 2443815375 3421341525 4887630750 5702235875 6842683050 11404471750 17106707625 34213415250