Search a number
-
+
10342043432 = 2371740127091
BaseRepresentation
bin10011010000110111…
…10000111100101000
3222200202101020111122
421220123300330220
5132140030342212
64430121514412
7514166630060
oct115033607450
928622336448
1010342043432
1144278a5336
122007642a08
13c8a818c36
1470175c3a0
15407e24272
hex2686f0f28

10342043432 has 64 divisors (see below), whose sum is σ = 23524525440. Its totient is φ = 4161024000.

The previous prime is 10342043431. The next prime is 10342043443. The reversal of 10342043432 is 23434024301.

It is a super-3 number, since 3×103420434323 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10342043431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368207 + ... + 395297.

It is an arithmetic number, because the mean of its divisors is an integer number (367570710).

Almost surely, 210342043432 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 10342043432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11762262720).

10342043432 is an abundant number, since it is smaller than the sum of its proper divisors (13182482008).

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

10342043432 is a wasteful number, since it uses less digits than its factorization.

10342043432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27522 (or 27518 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 10342043432 its reverse (23434024301), we get a palindrome (33776067733).

The spelling of 10342043432 in words is "ten billion, three hundred forty-two million, forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 401 476 802 952 1604 2807 3208 5614 6817 11228 13634 22456 27091 27268 47719 54182 54536 95438 108364 189637 190876 216728 379274 381752 460547 758548 921094 1517096 1842188 3223829 3684376 6447658 10863491 12895316 21726982 25790632 43453964 76044437 86907928 152088874 184679347 304177748 369358694 608355496 738717388 1292755429 1477434776 2585510858 5171021716 10342043432