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34904394 = 2327377487
BaseRepresentation
bin1000010100100…
…1100101001010
32102200022211100
42011021211022
532413420034
63244042230
7602453040
oct205114512
972608740
1034904394
1118780208
12b833376
1373013b5
1448c8390
1530e7099
hex214994a

34904394 has 48 divisors (see below), whose sum is σ = 88777728. Its totient is φ = 9701856.

The previous prime is 34904393. The next prime is 34904399. The reversal of 34904394 is 49340943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34904393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 919 + ... + 8405.

It is an arithmetic number, because the mean of its divisors is an integer number (1849536).

Almost surely, 234904394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34904394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44388864).

34904394 is an abundant number, since it is smaller than the sum of its proper divisors (53873334).

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

34904394 is a wasteful number, since it uses less digits than its factorization.

34904394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7539 (or 7536 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 34904394 is about 5907.9940758264. The cubic root of 34904394 is about 326.8085179209.

The spelling of 34904394 in words is "thirty-four million, nine hundred four thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 37 42 63 74 111 126 222 259 333 518 666 777 1554 2331 4662 7487 14974 22461 44922 52409 67383 104818 134766 157227 277019 314454 471681 554038 831057 943362 1662114 1939133 2493171 3878266 4986342 5817399 11634798 17452197 34904394