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435014064 = 24341073137
BaseRepresentation
bin11001111011011…
…100100110110000
31010022120000010000
4121323130212300
51342330422224
6111055510000
713531362402
oct3173344660
91108500100
10435014064
11203610561
12101828300
136c180894
1441abab72
15282cd0c9
hex19edc9b0

435014064 has 100 divisors (see below), whose sum is σ = 1271228904. Its totient is φ = 143603712.

The previous prime is 435014051. The next prime is 435014113. The reversal of 435014064 is 460410534.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 19 ways as a sum of consecutive naturals, for example, 137104 + ... + 140240.

Almost surely, 2435014064 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 435014064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635614452).

435014064 is an abundant number, since it is smaller than the sum of its proper divisors (836214840).

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

435014064 is a wasteful number, since it uses less digits than its factorization.

435014064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3249 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 435014064 is about 20856.9907704827. The cubic root of 435014064 is about 757.7066508048.

Adding to 435014064 its reverse (460410534), we get a palindrome (895424598).

The spelling of 435014064 in words is "four hundred thirty-five million, fourteen thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 107 108 144 162 214 216 321 324 428 432 642 648 856 963 1284 1296 1712 1926 2568 2889 3137 3852 5136 5778 6274 7704 8667 9411 11556 12548 15408 17334 18822 23112 25096 28233 34668 37644 46224 50192 56466 69336 75288 84699 112932 138672 150576 169398 225864 254097 335659 338796 451728 508194 671318 677592 1006977 1016388 1342636 1355184 2013954 2032776 2685272 3020931 4027908 4065552 5370544 6041862 8055816 9062793 12083724 16111632 18125586 24167448 27188379 36251172 48334896 54376758 72502344 108753516 145004688 217507032 435014064