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10340021240 = 2354121129881
BaseRepresentation
bin10011010000101000…
…00011001111111000
3222200121120111120122
421220110003033320
5132134021134430
64430010312412
7514143505343
oct115024031770
928617514518
1010340021240
114426743aaa
122006a28708
13c8a28b683
1470139345a
15407b74ee5
hex2685033f8

10340021240 has 64 divisors (see below), whose sum is σ = 23946239520. Its totient is φ = 4015872000.

The previous prime is 10340021239. The next prime is 10340021249. The reversal of 10340021240 is 4212004301.

It is a super-2 number, since 2×103400212402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10340021249) 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, 331100 + ... + 360980.

Almost surely, 210340021240 is an apocalyptic number.

10340021240 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 10340021240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11973119760).

10340021240 is an abundant number, since it is smaller than the sum of its proper divisors (13606218280).

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

10340021240 is a wasteful number, since it uses less digits than its factorization.

10340021240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30144 (or 30140 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10340021240 its reverse (4212004301), we get a palindrome (14552025541).

The spelling of 10340021240 in words is "ten billion, three hundred forty million, twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 211 328 410 422 820 844 1055 1640 1688 2110 4220 8440 8651 17302 29881 34604 43255 59762 69208 86510 119524 149405 173020 239048 298810 346040 597620 1195240 1225121 2450242 4900484 6125605 6304891 9800968 12251210 12609782 24502420 25219564 31524455 49004840 50439128 63048910 126097820 252195640 258500531 517001062 1034002124 1292502655 2068004248 2585005310 5170010620 10340021240