Search a number
-
+
34410343104 = 263319913393
BaseRepresentation
bin100000000011000001…
…000010101011000000
310021211010010112202000
4200003001002223000
51030433021434404
623450301024000
72325502043004
oct400301025300
9107733115660
1034410343104
1113658818095
126803b55000
133325009b87
141946096704
15d65e07339
hex803042ac0

34410343104 has 56 divisors (see below), whose sum is σ = 101160041520. Its totient is φ = 11470113792.

The previous prime is 34410343087. The next prime is 34410343157. The reversal of 34410343104 is 40134301443.

34410343104 is a `hidden beast` number, since 344 + 1 + 0 + 3 + 4 + 310 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9954969 + ... + 9958424.

Almost surely, 234410343104 is an apocalyptic number.

It is an amenable number.

34410343104 is an abundant number, since it is smaller than the sum of its proper divisors (66749698416).

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

34410343104 is a wasteful number, since it uses less digits than its factorization.

34410343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19913414 (or 19913398 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34410343104 its reverse (40134301443), we get a palindrome (74544644547).

The spelling of 34410343104 in words is "thirty-four billion, four hundred ten million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 19913393 39826786 59740179 79653572 119480358 159307144 179220537 238960716 318614288 358441074 477921432 537661611 637228576 716882148 955842864 1075323222 1274457152 1433764296 1911685728 2150646444 2867528592 3823371456 4301292888 5735057184 8602585776 11470114368 17205171552 34410343104