Search a number
-
+
10341431232 = 263115392387
BaseRepresentation
bin10011010000110010…
…11011011111000000
3222200201020010201120
421220121123133000
5132134401244412
64430100432240
7514161500166
oct115031333700
928621203646
1010341431232
114427517390
1220073a8680
13c8a6633a2
1470163d236
15407d52b8c
hex26865b7c0

10341431232 has 112 divisors (see below), whose sum is σ = 30412651392. Its totient is φ = 3074606080.

The previous prime is 10341431203. The next prime is 10341431237. The reversal of 10341431232 is 23213414301.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10341431237) 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, 65743 + ... + 158129.

Almost surely, 210341431232 is an apocalyptic number.

10341431232 is a gapful number since it is divisible by the number (12) 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 10341431232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15206325696).

10341431232 is an abundant number, since it is smaller than the sum of its proper divisors (20071220160).

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

10341431232 is a wasteful number, since it uses less digits than its factorization.

10341431232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92466 (or 92456 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10341431232 its reverse (23213414301), we get a palindrome (33554845533).

The spelling of 10341431232 in words is "ten billion, three hundred forty-one million, four hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 132 159 176 192 212 264 318 352 424 528 583 636 704 848 1056 1166 1272 1696 1749 2112 2332 2544 3392 3498 4664 5088 6996 9328 10176 13992 18656 27984 37312 55968 92387 111936 184774 277161 369548 554322 739096 1016257 1108644 1478192 2032514 2217288 2956384 3048771 4065028 4434576 4896511 5912768 6097542 8130056 8869152 9793022 12195084 14689533 16260112 17738304 19586044 24390168 29379066 32520224 39172088 48780336 53861621 58758132 65040448 78344176 97560672 107723242 117516264 156688352 161584863 195121344 215446484 235032528 313376704 323169726 430892968 470065056 646339452 861785936 940130112 1292678904 1723571872 2585357808 3447143744 5170715616 10341431232