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2334400464 = 243114421213
BaseRepresentation
bin1000101100100100…
…0001111111010000
320000200120211102110
42023021001333100
514240101303324
61023350145320
7111564035154
oct21311017720
96020524373
102334400464
11a98787690
12551952240
132b282b066
14182065064
15d9e19329
hex8b241fd0

2334400464 has 40 divisors (see below), whose sum is σ = 6578766432. Its totient is φ = 707393920.

The previous prime is 2334400459. The next prime is 2334400483. The reversal of 2334400464 is 4640044332.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 2210079 + ... + 2211134.

Almost surely, 22334400464 is an apocalyptic number.

2334400464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2334400464 is an abundant number, since it is smaller than the sum of its proper divisors (4244365968).

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

2334400464 is a wasteful number, since it uses less digits than its factorization.

2334400464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4421235 (or 4421229 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 2334400464 is about 48315.6337431271. The cubic root of 2334400464 is about 1326.5545705758.

Adding to 2334400464 its reverse (4640044332), we get a palindrome (6974444796).

The spelling of 2334400464 in words is "two billion, three hundred thirty-four million, four hundred thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 4421213 8842426 13263639 17684852 26527278 35369704 48633343 53054556 70739408 97266686 106109112 145900029 194533372 212218224 291800058 389066744 583600116 778133488 1167200232 2334400464