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34394238 = 23237431201
BaseRepresentation
bin1000001100110…
…1000001111110
32101201102000200
42003031001332
532301103423
63225104330
7565226514
oct203150176
971642020
1034394238
111846199a
12b6280a6
137183128
1447d44b4
153045d43
hex20cd07e

34394238 has 48 divisors (see below), whose sum is σ = 78380016. Its totient is φ = 10886400.

The previous prime is 34394219. The next prime is 34394257. The reversal of 34394238 is 83249343.

It is a happy number.

34394238 is a `hidden beast` number, since 34 + 394 + 238 = 666.

It is an interprime number because it is at equal distance from previous prime (34394219) and next prime (34394257).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28038 + ... + 29238.

It is an arithmetic number, because the mean of its divisors is an integer number (1632917).

Almost surely, 234394238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34394238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39190008).

34394238 is an abundant number, since it is smaller than the sum of its proper divisors (43985778).

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

34394238 is a wasteful number, since it uses less digits than its factorization.

34394238 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1286 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 34394238 is about 5864.6600924521. The cubic root of 34394238 is about 325.2085068330.

The spelling of 34394238 in words is "thirty-four million, three hundred ninety-four thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 43 74 86 111 129 222 258 333 387 666 774 1201 1591 2402 3182 3603 4773 7206 9546 10809 14319 21618 28638 44437 51643 88874 103286 133311 154929 266622 309858 399933 464787 799866 929574 1910791 3821582 5732373 11464746 17197119 34394238