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412114340 = 22511171011091
BaseRepresentation
bin11000100100000…
…101110110100100
31001201110120121002
4120210011312210
51321000124330
6104521012432
713132625351
oct3044056644
91051416532
10412114340
111a169a670
12b6024118
13674c3651
143ca39628
15262a7e45
hex18905da4

412114340 has 96 divisors (see below), whose sum is σ = 1010475648. Its totient is φ = 139520000.

The previous prime is 412114333. The next prime is 412114343. The reversal of 412114340 is 43411214.

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

It is not an unprimeable number, because it can be changed into a prime (412114343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377195 + ... + 378285.

It is an arithmetic number, because the mean of its divisors is an integer number (10525788).

Almost surely, 2412114340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505237824).

412114340 is an abundant number, since it is smaller than the sum of its proper divisors (598361308).

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

412114340 is a wasteful number, since it uses less digits than its factorization.

412114340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 412114340 is about 20300.5994985370. The cubic root of 412114340 is about 744.1707151515.

Adding to 412114340 its reverse (43411214), we get a palindrome (455525554).

The spelling of 412114340 in words is "four hundred twelve million, one hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 101 110 170 187 202 220 340 374 404 505 748 935 1010 1091 1111 1717 1870 2020 2182 2222 3434 3740 4364 4444 5455 5555 6868 8585 10910 11110 12001 17170 18547 18887 21820 22220 24002 34340 37094 37774 48004 60005 74188 75548 92735 94435 110191 120010 185470 188870 204017 220382 240020 370940 377740 408034 440764 550955 816068 1020085 1101910 1212101 1873247 2040170 2203820 2424202 3746494 4080340 4848404 6060505 7492988 9366235 12121010 18732470 20605717 24242020 37464940 41211434 82422868 103028585 206057170 412114340