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2034343040 = 27529109609
BaseRepresentation
bin111100101000001…
…1001110010000000
312020202222100000112
41321100121302000
513131242434130
6533511010452
7101261426162
oct17120316200
95222870015
102034343040
11954374044
12489369a28
132656100a2
14154278932
15bd8e8495
hex79419c80

2034343040 has 64 divisors (see below), whose sum is σ = 5031099000. Its totient is φ = 785670144.

The previous prime is 2034343037. The next prime is 2034343061. The reversal of 2034343040 is 403434302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1957885504 + 76457536 = 44248^2 + 8744^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2034342997 and 2034343015.

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, 36245 + ... + 73364.

Almost surely, 22034343040 is an apocalyptic number.

2034343040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2034343040 is an abundant number, since it is smaller than the sum of its proper divisors (2996755960).

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

2034343040 is a wasteful number, since it uses less digits than its factorization.

2034343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109657 (or 109645 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

The square root of 2034343040 is about 45103.6920883424. The cubic root of 2034343040 is about 1267.0917477588.

Adding to 2034343040 its reverse (403434302), we get a palindrome (2437777342).

The spelling of 2034343040 in words is "two billion, thirty-four million, three hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 290 320 464 580 640 928 1160 1856 2320 3712 4640 9280 18560 109609 219218 438436 548045 876872 1096090 1753744 2192180 3178661 3507488 4384360 6357322 7014976 8768720 12714644 14029952 15893305 17537440 25429288 31786610 35074880 50858576 63573220 70149760 101717152 127146440 203434304 254292880 406868608 508585760 1017171520 2034343040