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34440640 = 2651317487
BaseRepresentation
bin1000001101100…
…0010111000000
32101210202200021
42003120113000
532304100030
63230103224
7565512013
oct203302700
971722607
1034440640
1118493843
12b64ab14
13719b2a0
14480737a
15305497a
hex20d85c0

34440640 has 112 divisors (see below), whose sum is σ = 93707712. Its totient is φ = 11943936.

The previous prime is 34440631. The next prime is 34440643. The reversal of 34440640 is 4604443.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34440643) 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, 70477 + ... + 70963.

It is an arithmetic number, because the mean of its divisors is an integer number (836676).

Almost surely, 234440640 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 34440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46853856).

34440640 is an abundant number, since it is smaller than the sum of its proper divisors (59267072).

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

34440640 is a wasteful number, since it uses less digits than its factorization.

34440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 34440640 is about 5868.6148280493. The cubic root of 34440640 is about 325.3546896906.

The spelling of 34440640 in words is "thirty-four million, four hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 64 65 68 80 85 104 130 136 160 170 208 221 260 272 320 340 416 442 487 520 544 680 832 884 974 1040 1088 1105 1360 1768 1948 2080 2210 2435 2720 3536 3896 4160 4420 4870 5440 6331 7072 7792 8279 8840 9740 12662 14144 15584 16558 17680 19480 25324 31168 31655 33116 35360 38960 41395 50648 63310 66232 70720 77920 82790 101296 107627 126620 132464 155840 165580 202592 215254 253240 264928 331160 405184 430508 506480 529856 538135 662320 861016 1012960 1076270 1324640 1722032 2025920 2152540 2649280 3444064 4305080 6888128 8610160 17220320 34440640