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704039424 = 2931141669
BaseRepresentation
bin101001111101101…
…100101000000000
31211001202220112020
4221331230220000
52420213230144
6153510001440
723306144034
oct5175545000
91731686466
10704039424
11331459270
12177946280
13b2b24b9a
146970a1c4
1541c1e419
hex29f6ca00

704039424 has 80 divisors (see below), whose sum is σ = 2046163680. Its totient is φ = 213340160.

The previous prime is 704039423. The next prime is 704039429. The reversal of 704039424 is 424930407.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is not an unprimeable number, because it can be changed into a prime (704039423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3939 + ... + 37730.

It is an arithmetic number, because the mean of its divisors is an integer number (25577046).

Almost surely, 2704039424 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 704039424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023081840).

704039424 is an abundant number, since it is smaller than the sum of its proper divisors (1342124256).

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

704039424 is a wasteful number, since it uses less digits than its factorization.

704039424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41701 (or 41685 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 704039424 is about 26533.7412363956. The cubic root of 704039424 is about 889.6086416358.

It can be divided in two parts, 7040 and 39424, that added together give a palindrome (46464).

The spelling of 704039424 in words is "seven hundred four million, thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 8448 16896 41669 83338 125007 166676 250014 333352 458359 500028 666704 916718 1000056 1333408 1375077 1833436 2000112 2666816 2750154 3666872 4000224 5333632 5500308 7333744 8000448 10667264 11000616 14667488 16000896 21334528 22001232 29334976 32001792 44002464 58669952 64003584 88004928 117339904 176009856 234679808 352019712 704039424