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34715424 = 253536823
BaseRepresentation
bin1000010001101…
…1011100100000
32102022201121110
42010123130200
532341343144
63240023320
7601035102
oct204333440
972281543
1034715424
1118661237
12b761b40
137266393
144879572
1530ab0b9
hex211b720

34715424 has 48 divisors (see below), whose sum is σ = 92860992. Its totient is φ = 11351808.

The previous prime is 34715419. The next prime is 34715437. The reversal of 34715424 is 42451743.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 34715391 and 34715400.

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, 1677 + ... + 8499.

It is an arithmetic number, because the mean of its divisors is an integer number (1934604).

Almost surely, 234715424 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 34715424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46430496).

34715424 is an abundant number, since it is smaller than the sum of its proper divisors (58145568).

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

34715424 is a wasteful number, since it uses less digits than its factorization.

34715424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6889 (or 6881 counting only the distinct ones).

The product of its digits is 13440, while the sum is 30.

The square root of 34715424 is about 5891.9796333660. The cubic root of 34715424 is about 326.2176773956.

The spelling of 34715424 in words is "thirty-four million, seven hundred fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 6823 13646 20469 27292 40938 54584 81876 109168 163752 218336 327504 361619 655008 723238 1084857 1446476 2169714 2892952 4339428 5785904 8678856 11571808 17357712 34715424