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34419204 = 22325771657
BaseRepresentation
bin1000001101001…
…1001000000100
32101202200021100
42003103020010
532302403304
63225420100
7565362351
oct203231004
971680240
1034419204
1118479726
12b63a630
1371915c1
1447dd628
15304d439
hex20d3204

34419204 has 36 divisors (see below), whose sum is σ = 87207484. Its totient is φ = 11446272.

The previous prime is 34419197. The next prime is 34419211. The reversal of 34419204 is 40291443.

It is an interprime number because it is at equal distance from previous prime (34419197) and next prime (34419211).

It can be written as a sum of positive squares in 2 ways, for example, as 25704900 + 8714304 = 5070^2 + 2952^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19944 + ... + 21600.

Almost surely, 234419204 is an apocalyptic number.

It is an amenable number.

34419204 is an abundant number, since it is smaller than the sum of its proper divisors (52788280).

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

34419204 is a wasteful number, since it uses less digits than its factorization.

34419204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34419204 is about 5866.7882184378. The cubic root of 34419204 is about 325.2871749699.

The spelling of 34419204 in words is "thirty-four million, four hundred nineteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 577 1154 1657 1731 2308 3314 3462 4971 5193 6628 6924 9942 10386 14913 19884 20772 29826 59652 956089 1912178 2868267 3824356 5736534 8604801 11473068 17209602 34419204