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10434313340 = 22511671813911
BaseRepresentation
bin10011011011110111…
…01111110001111100
3222221012000001000122
421231323233301330
5132332141011330
64443215314112
7516400125413
oct115573576174
928835001018
1010434313340
114474997060
12203251b938
13ca3984109
1470dada47a
1541109d5e5
hex26deefc7c

10434313340 has 96 divisors (see below), whose sum is σ = 24401115648. Its totient is φ = 3716064000.

The previous prime is 10434313321. The next prime is 10434313367. The reversal of 10434313340 is 4331343401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2665985 + ... + 2669895.

It is an arithmetic number, because the mean of its divisors is an integer number (254178288).

Almost surely, 210434313340 is an apocalyptic number.

10434313340 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 10434313340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12200557824).

10434313340 is an abundant number, since it is smaller than the sum of its proper divisors (13966802308).

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

10434313340 is a wasteful number, since it uses less digits than its factorization.

10434313340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4177 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 10434313340 its reverse (4331343401), we get a palindrome (14765656741).

The spelling of 10434313340 in words is "ten billion, four hundred thirty-four million, three hundred thirteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 181 220 268 335 362 670 724 737 905 1340 1474 1810 1991 2948 3620 3685 3911 3982 7370 7822 7964 9955 12127 14740 15644 19555 19910 24254 39110 39820 43021 48508 60635 78220 86042 121270 133397 172084 215105 242540 262037 266794 430210 524074 533588 666985 707891 860420 1048148 1310185 1333970 1415782 2620370 2667940 2831564 2882407 3539455 5240740 5764814 7078910 7786801 11529628 14157820 14412035 15573602 28824070 31147204 38934005 47428697 57648140 77868010 94857394 155736020 189714788 237143485 474286970 521715667 948573940 1043431334 2086862668 2608578335 5217156670 10434313340