Search a number
-
+
10346332024 = 237341354133
BaseRepresentation
bin10011010001011000…
…00111111101111000
3222201001110010100101
421220230013331320
5132142130111044
64430353445144
7514251241210
oct115054077570
928631403311
1010346332024
11442a264426
122008b707b4
13c8b68ac72
14702157240
154084becd4
hex268b07f78

10346332024 has 32 divisors (see below), whose sum is σ = 22177617120. Its totient is φ = 4432761216.

The previous prime is 10346332021. The next prime is 10346332027. The reversal of 10346332024 is 42023364301.

It is an interprime number because it is at equal distance from previous prime (10346332021) and next prime (10346332027).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10346331983 and 10346332001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10346332021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164062 + ... + 218194.

It is an arithmetic number, because the mean of its divisors is an integer number (693050535).

Almost surely, 210346332024 is an apocalyptic number.

10346332024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10346332024 is an abundant number, since it is smaller than the sum of its proper divisors (11831285096).

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

10346332024 is a wasteful number, since it uses less digits than its factorization.

10346332024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57559 (or 57555 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 10346332024 its reverse (42023364301), we get a palindrome (52369696325).

The spelling of 10346332024 in words is "ten billion, three hundred forty-six million, three hundred thirty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 56 3413 6826 13652 23891 27304 47782 54133 95564 108266 191128 216532 378931 433064 757862 1515724 3031448 184755929 369511858 739023716 1293291503 1478047432 2586583006 5173166012 10346332024