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34414340 = 22531471181
BaseRepresentation
bin1000001101000…
…1111100000100
32101202102121012
42003101330010
532302224330
63225341352
7565342232
oct203217404
971672535
1034414340
1118476004
12b637858
13718c31c
1447db952
15304bc95
hex20d1f04

34414340 has 48 divisors (see below), whose sum is σ = 76253184. Its totient is φ = 13027200.

The previous prime is 34414313. The next prime is 34414343. The reversal of 34414340 is 4341443.

It is not an unprimeable number, because it can be changed into a prime (34414343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28550 + ... + 29730.

It is an arithmetic number, because the mean of its divisors is an integer number (1588608).

Almost surely, 234414340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34414340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38126592).

34414340 is an abundant number, since it is smaller than the sum of its proper divisors (41838844).

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

34414340 is a wasteful number, since it uses less digits than its factorization.

34414340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 34414340 is about 5866.3736669258. The cubic root of 34414340 is about 325.2718514376.

Adding to 34414340 its reverse (4341443), we get a palindrome (38755783).

The spelling of 34414340 in words is "thirty-four million, four hundred fourteen thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 47 62 94 124 155 188 235 310 470 620 940 1181 1457 2362 2914 4724 5828 5905 7285 11810 14570 23620 29140 36611 55507 73222 111014 146444 183055 222028 277535 366110 555070 732220 1110140 1720717 3441434 6882868 8603585 17207170 34414340