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10341430040 = 2356111337507
BaseRepresentation
bin10011010000110010…
…11011001100011000
3222200201020002002102
421220121123030120
5132134401230130
64430100422532
7514161463544
oct115031331430
928621202072
1010341430040
1144275164a7
1220073a7a48
13c8a662996
1470163ca24
15407d52645
hex26865b318

10341430040 has 64 divisors (see below), whose sum is σ = 23859588960. Its totient is φ = 4032645120.

The previous prime is 10341430037. The next prime is 10341430049. The reversal of 10341430040 is 4003414301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10341429994 and 10341430021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10341430049) 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, 256967 + ... + 294473.

Almost surely, 210341430040 is an apocalyptic number.

10341430040 is a gapful number since it is divisible by the number (10) 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 10341430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11929794480).

10341430040 is an abundant number, since it is smaller than the sum of its proper divisors (13518158920).

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

10341430040 is a wasteful number, since it uses less digits than its factorization.

10341430040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37692 (or 37688 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10341430040 its reverse (4003414301), we get a palindrome (14344844341).

The spelling of 10341430040 in words is "ten billion, three hundred forty-one million, four hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 61 113 122 226 244 305 452 488 565 610 904 1130 1220 2260 2440 4520 6893 13786 27572 34465 37507 55144 68930 75014 137860 150028 187535 275720 300056 375070 750140 1500280 2287927 4238291 4575854 8476582 9151708 11439635 16953164 18303416 21191455 22879270 33906328 42382910 45758540 84765820 91517080 169531640 258535751 517071502 1034143004 1292678755 2068286008 2585357510 5170715020 10341430040