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414190104 = 23343401347
BaseRepresentation
bin11000101100000…
…000101000011000
31001212101001000020
4120230000220120
51322013040404
6105033310440
713156362216
oct3054005030
91055331006
10414190104
111a2888179
12b6865420
1367a6c403
143d019cb6
1526567ed9
hex18b00a18

414190104 has 32 divisors (see below), whose sum is σ = 1059558720. Its totient is φ = 134852256.

The previous prime is 414190103. The next prime is 414190109. The reversal of 414190104 is 401091414.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414190103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199642 + ... + 201705.

It is an arithmetic number, because the mean of its divisors is an integer number (33111210).

Almost surely, 2414190104 is an apocalyptic number.

It is an amenable number.

414190104 is an abundant number, since it is smaller than the sum of its proper divisors (645368616).

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

414190104 is a wasteful number, since it uses less digits than its factorization.

414190104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401399 (or 401395 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 414190104 is about 20351.6609641572. The cubic root of 414190104 is about 745.4180522326.

The spelling of 414190104 in words is "four hundred fourteen million, one hundred ninety thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 401347 802694 1204041 1605388 2408082 3210776 4816164 9632328 17257921 34515842 51773763 69031684 103547526 138063368 207095052 414190104