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34414740 = 22335101631
BaseRepresentation
bin1000001101001…
…0000010010100
32101202110011000
42003102002110
532302232430
63225343300
7565343343
oct203220224
971673130
1034414740
1118476338
12b637b30
13718c569
1447dbb5a
15304be60
hex20d2094

34414740 has 96 divisors (see below), whose sum is σ = 108299520. Its totient is φ = 9072000.

The previous prime is 34414729. The next prime is 34414747. The reversal of 34414740 is 4741443.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34414747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54225 + ... + 54855.

It is an arithmetic number, because the mean of its divisors is an integer number (1128120).

Almost surely, 234414740 is an apocalyptic number.

34414740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34414740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54149760).

34414740 is an abundant number, since it is smaller than the sum of its proper divisors (73884780).

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

34414740 is a wasteful number, since it uses less digits than its factorization.

34414740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 34414740 is about 5866.4077594385. The cubic root of 34414740 is about 325.2731116510.

The spelling of 34414740 in words is "thirty-four million, four hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 101 108 135 180 202 270 303 404 505 540 606 631 909 1010 1212 1262 1515 1818 1893 2020 2524 2727 3030 3155 3636 3786 4545 5454 5679 6060 6310 7572 9090 9465 10908 11358 12620 13635 17037 18180 18930 22716 27270 28395 34074 37860 54540 56790 63731 68148 85185 113580 127462 170370 191193 254924 318655 340740 382386 573579 637310 764772 955965 1147158 1274620 1720737 1911930 2294316 2867895 3441474 3823860 5735790 6882948 8603685 11471580 17207370 34414740