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34009440 = 253570853
BaseRepresentation
bin1000000110111…
…1000101100000
32100222212011220
42001233011200
532201300230
63212535040
7562034613
oct201570540
970885156
1034009440
1118219883
12b481480
137079c3a
14473417a
152ebbd10
hex206f160

34009440 has 48 divisors (see below), whose sum is σ = 107131248. Its totient is φ = 9069056.

The previous prime is 34009439. The next prime is 34009453. The reversal of 34009440 is 4490043.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×340094402 = 2313284018227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34009440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34947 + ... + 35906.

It is an arithmetic number, because the mean of its divisors is an integer number (2231901).

Almost surely, 234009440 is an apocalyptic number.

34009440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34009440 is an abundant number, since it is smaller than the sum of its proper divisors (73121808).

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

34009440 is a wasteful number, since it uses less digits than its factorization.

34009440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70871 (or 70863 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34009440 is about 5831.7613119880. The cubic root of 34009440 is about 323.9911596430.

Adding to 34009440 its reverse (4490043), we get a palindrome (38499483).

The spelling of 34009440 in words is "thirty-four million, nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 70853 141706 212559 283412 354265 425118 566824 708530 850236 1062795 1133648 1417060 1700472 2125590 2267296 2834120 3400944 4251180 5668240 6801888 8502360 11336480 17004720 34009440