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340225420410 = 232532801115249
BaseRepresentation
bin1001111001101110000…
…00111110110001111010
31012112011220011002220200
410330313000332301322
521033240201423120
6420144123303030
733403050233451
oct4746700766172
91175156132820
10340225420410
1112131a41aaa7
1255b3097aa76
13261107c8b15
141267762bb98
158cb3d71e90
hex4f3703ec7a

340225420410 has 48 divisors (see below), whose sum is σ = 884620737000. Its totient is φ = 90723225600.

The previous prime is 340225420399. The next prime is 340225420411. The reversal of 340225420410 is 14024522043.

340225420410 is a `hidden beast` number, since 3 + 4 + 0 + 225 + 4 + 20 + 410 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 171651947481 + 168573472929 = 414309^2 + 410577^2 .

It is a super-2 number, since 2×3402254204102 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (340225420411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2894466 + ... + 3009714.

Almost surely, 2340225420410 is an apocalyptic number.

340225420410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

340225420410 is an abundant number, since it is smaller than the sum of its proper divisors (544395316590).

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

340225420410 is a wasteful number, since it uses less digits than its factorization.

340225420410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148063 (or 148060 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 340225420410 its reverse (14024522043), we get a palindrome (354249942453).

The spelling of 340225420410 in words is "three hundred forty billion, two hundred twenty-five million, four hundred twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 32801 65602 98403 115249 164005 196806 230498 295209 328010 345747 492015 576245 590418 691494 984030 1037241 1152490 1476045 1728735 2074482 2952090 3457470 5186205 10372410 3780282449 7560564898 11340847347 18901412245 22681694694 34022542041 37802824490 56704236735 68045084082 113408473470 170112710205 340225420410