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2034604400 = 245231712311
BaseRepresentation
bin111100101000101…
…1001100101110000
312020210110121112112
41321101121211300
513131324320100
6533520344452
7101263565153
oct17121314560
95223417475
102034604400
11954532444
12489475128
132656a203a
14154305c9a
15bd94ab35
hex79459970

2034604400 has 120 divisors (see below), whose sum is σ = 5119100928. Its totient is φ = 776160000.

The previous prime is 2034604367. The next prime is 2034604463. The reversal of 2034604400 is 44064302.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 879245 + ... + 881555.

Almost surely, 22034604400 is an apocalyptic number.

2034604400 is a gapful number since it is divisible by the number (20) 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 2034604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559550464).

2034604400 is an abundant number, since it is smaller than the sum of its proper divisors (3084496528).

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

2034604400 is a wasteful number, since it uses less digits than its factorization.

2034604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431 (or 2420 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2034604400 is about 45106.5893190784. The cubic root of 2034604400 is about 1267.1460081779.

Adding to 2034604400 its reverse (44064302), we get a palindrome (2078668702).

The spelling of 2034604400 in words is "two billion, thirty-four million, six hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 71 80 100 124 142 155 200 248 284 310 355 400 496 568 620 710 775 1136 1240 1420 1550 1775 2201 2311 2480 2840 3100 3550 4402 4622 5680 6200 7100 8804 9244 11005 11555 12400 14200 17608 18488 22010 23110 28400 35216 36976 44020 46220 55025 57775 71641 88040 92440 110050 115550 143282 164081 176080 184880 220100 231100 286564 328162 358205 440200 462200 573128 656324 716410 820405 880400 924400 1146256 1312648 1432820 1640810 1791025 2625296 2865640 3281620 3582050 4102025 5086511 5731280 6563240 7164100 8204050 10173022 13126480 14328200 16408100 20346044 25432555 28656400 32816200 40692088 50865110 65632400 81384176 101730220 127162775 203460440 254325550 406920880 508651100 1017302200 2034604400