Search a number
-
+
34704456416 = 2571303118903
BaseRepresentation
bin100000010100100010…
…111111101011100000
310022120121120001100122
4200110202333223200
51032033320101131
623535404535412
72336003004140
oct402442775340
9108517501318
1034704456416
1113799840843
126886551568
133370c26416
141973176920
15d81b51d7b
hex8148bfae0

34704456416 has 48 divisors (see below), whose sum is σ = 78145611264. Its totient is φ = 14861798784.

The previous prime is 34704456389. The next prime is 34704456427. The reversal of 34704456416 is 61465440743.

It is a congruent number.

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, 232421 + ... + 351323.

It is an arithmetic number, because the mean of its divisors is an integer number (1628033568).

Almost surely, 234704456416 is an apocalyptic number.

It is an amenable number.

34704456416 is an abundant number, since it is smaller than the sum of its proper divisors (43441154848).

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

34704456416 is a wasteful number, since it uses less digits than its factorization.

34704456416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120223 (or 120215 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 34704456416 in words is "thirty-four billion, seven hundred four million, four hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1303 2606 5212 9121 10424 18242 20848 36484 41696 72968 118903 145936 237806 291872 475612 832321 951224 1664642 1902448 3329284 3804896 6658568 13317136 26634272 154930609 309861218 619722436 1084514263 1239444872 2169028526 2478889744 4338057052 4957779488 8676114104 17352228208 34704456416