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2034123104 = 2513291031637
BaseRepresentation
bin111100100111110…
…0100000101100000
312020202120011022202
41321033210011200
513131213414404
6533502152332
7101256522026
oct17117440540
95222504282
102034123104
11954233882
124892826a8
13265563c50
1415421c716
15bd8a321e
hex793e4160

2034123104 has 96 divisors (see below), whose sum is σ = 4507513920. Its totient is φ = 897103872.

The previous prime is 2034123089. The next prime is 2034123121. The reversal of 2034123104 is 4013214302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1241774 + ... + 1243410.

It is an arithmetic number, because the mean of its divisors is an integer number (46953270).

Almost surely, 22034123104 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 2034123104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253756960).

2034123104 is an abundant number, since it is smaller than the sum of its proper divisors (2473390816).

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

2034123104 is a wasteful number, since it uses less digits than its factorization.

2034123104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1784 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2034123104 is about 45101.2539071809. The cubic root of 2034123104 is about 1267.0460836912.

Adding to 2034123104 its reverse (4013214302), we get a palindrome (6047337406).

The spelling of 2034123104 in words is "two billion, thirty-four million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 103 104 116 206 208 232 377 412 416 464 754 824 928 1339 1508 1637 1648 2678 2987 3016 3274 3296 5356 5974 6032 6548 10712 11948 12064 13096 21281 21424 23896 26192 38831 42562 42848 47473 47792 52384 77662 85124 94946 95584 155324 168611 170248 189892 310648 337222 340496 379784 617149 621296 674444 680992 759568 1234298 1242592 1348888 1519136 2191943 2468596 2697776 4383886 4889719 4937192 5395552 8767772 9779438 9874384 17535544 19558876 19748768 35071088 39117752 63566347 70142176 78235504 127132694 156471008 254265388 508530776 1017061552 2034123104