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23430003432 = 2331121737101127
BaseRepresentation
bin10101110100100010…
…010111101011101000
32020110212200111101220
4111310202113223220
5340441040102212
614432534142040
71456421512623
oct256442275350
966425614356
1023430003432
119a33698400
12465a7b1920
1322951a7174
1411c3a62dba
15921e4d38c
hex574897ae8

23430003432 has 384 divisors, whose sum is σ = 71263825920. Its totient is φ = 6386688000.

The previous prime is 23430003427. The next prime is 23430003439.

23430003432 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23430003439) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184488153 + ... + 184488279.

It is an arithmetic number, because the mean of its divisors is an integer number (185582880).

Almost surely, 223430003432 is an apocalyptic number.

23430003432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23430003432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35631912960).

23430003432 is an abundant number, since it is smaller than the sum of its proper divisors (47833822488).

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

23430003432 is a wasteful number, since it uses less digits than its factorization.

23430003432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 24.

It can be divided in two parts, 23430003 and 432, that added together give a triangular number (23430435 = T6845).

The spelling of 23430003432 in words is "twenty-three billion, four hundred thirty million, three thousand, four hundred thirty-two".