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34715664 = 24324912
BaseRepresentation
bin1000010001101…
…1100000010000
32102022201221100
42010123200100
532341400124
63240024400
7601035564
oct204334020
972281840
1034715664
1118661435
12b762100
137266519
1448796a4
1530ab1c9
hex211b810

34715664 has 45 divisors (see below), whose sum is σ = 97353919. Its totient is φ = 11548320.

The previous prime is 34715651. The next prime is 34715669. The reversal of 34715664 is 46651743.

It is a happy number.

The square root of 34715664 is 5892.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (34715669) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 70459 + ... + 70949.

Almost surely, 234715664 is an apocalyptic number.

34715664 is the 5892-nd square number.

It is an amenable number.

34715664 is an abundant number, since it is smaller than the sum of its proper divisors (62638255).

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

34715664 is an equidigital number, since it uses as much as digits as its factorization.

34715664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 496 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The cubic root of 34715664 is about 326.2184291465.

Multiplying 34715664 by its sum of digits (36), we get a square (1249763904 = 353522).

34715664 divided by its sum of digits (36) gives a square (964324 = 9822).

The spelling of 34715664 in words is "thirty-four million, seven hundred fifteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 491 982 1473 1964 2946 3928 4419 5892 7856 8838 11784 17676 23568 35352 70704 241081 482162 723243 964324 1446486 1928648 2169729 2892972 3857296 4339458 5785944 8678916 11571888 17357832 34715664