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419314968 = 233671899
BaseRepresentation
bin11000111111100…
…011110100011000
31002020000102000000
4120333203310120
51324321034333
6105335213000
713251055422
oct3077436430
91066012000
10419314968
111a57685a6
12b8517160
1368b44c87
143d991812
1526c2b713
hex18fe3d18

419314968 has 56 divisors (see below), whose sum is σ = 1178800500. Its totient is φ = 139769712.

The previous prime is 419314967. The next prime is 419314981. The reversal of 419314968 is 869413914.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419314963) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 30118 + ... + 41781.

Almost surely, 2419314968 is an apocalyptic number.

It is an amenable number.

419314968 is an abundant number, since it is smaller than the sum of its proper divisors (759485532).

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

419314968 is an equidigital number, since it uses as much as digits as its factorization.

419314968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71923 (or 71904 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 419314968 is about 20477.1816420131. The cubic root of 419314968 is about 748.4798650011.

The spelling of 419314968 in words is "four hundred nineteen million, three hundred fourteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 71899 143798 215697 287596 431394 575192 647091 862788 1294182 1725576 1941273 2588364 3882546 5176728 5823819 7765092 11647638 15530184 17471457 23295276 34942914 46590552 52414371 69885828 104828742 139771656 209657484 419314968