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1334214100 = 225221536197
BaseRepresentation
bin100111110000110…
…0111110111010100
310102222120002200001
41033201213313110
510213024322400
6340220501044
745030430012
oct11741476724
93388502601
101334214100
1162514688a
123129aa784
131835570cb
14c92a98b2
157c1eca6a
hex4f867dd4

1334214100 has 36 divisors (see below), whose sum is σ = 2897056764. Its totient is φ = 533351680.

The previous prime is 1334214097. The next prime is 1334214109. The reversal of 1334214100 is 14124331.

It can be written as a sum of positive squares in 6 ways, for example, as 253382724 + 1080831376 = 15918^2 + 32876^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334214109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212202 + ... + 218398.

It is an arithmetic number, because the mean of its divisors is an integer number (80473799).

Almost surely, 21334214100 is an apocalyptic number.

1334214100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334214100 is an abundant number, since it is smaller than the sum of its proper divisors (1562842664).

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

1334214100 is a wasteful number, since it uses less digits than its factorization.

1334214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8364 (or 8357 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1334214100 is about 36526.8955702507. The cubic root of 1334214100 is about 1100.8847152419.

Adding to 1334214100 its reverse (14124331), we get a palindrome (1348338431).

The spelling of 1334214100 in words is "one billion, three hundred thirty-four million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2153 4306 6197 8612 10765 12394 21530 24788 30985 43060 53825 61970 107650 123940 154925 215300 309850 619700 13342141 26684282 53368564 66710705 133421410 266842820 333553525 667107050 1334214100