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23400432784 = 2416722292
BaseRepresentation
bin10101110010110001…
…100100010010010000
32020101211001011002201
4111302301210102100
5340411002322114
614430000252544
71455612253051
oct256261442220
966354034081
1023400432784
119a18a30553
124650911154
13228c022741
1411bdb66728
1591e55b874
hex572c64490

23400432784 has 45 divisors (see below), whose sum is σ = 45811497657. Its totient is φ = 11579368512.

The previous prime is 23400432749. The next prime is 23400432787. The reversal of 23400432784 is 48723400432.

The square root of 23400432784 is 152972.

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

It can be written as a sum of positive squares in only one way, i.e., 21794026384 + 1606406400 = 147628^2 + 40080^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23400432787) 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, 102185182 + ... + 102185410.

Almost surely, 223400432784 is an apocalyptic number.

23400432784 is the 152972-nd square number.

It is an amenable number.

23400432784 is a deficient number, since it is larger than the sum of its proper divisors (22411064873).

23400432784 is an frugal number, since it uses more digits than its factorization.

23400432784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 37.

The spelling of 23400432784 in words is "twenty-three billion, four hundred million, four hundred thirty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 167 229 334 458 668 916 1336 1832 2672 3664 27889 38243 52441 55778 76486 104882 111556 152972 209764 223112 305944 419528 446224 611888 839056 6386581 8757647 12773162 17515294 25546324 35030588 51092648 70061176 102185296 140122352 1462527049 2925054098 5850108196 11700216392 23400432784