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2034243200 = 27521157791
BaseRepresentation
bin111100101000000…
…0001011010000000
312020202210021001202
41321100001122000
513131231240300
6533504520332
7101260532123
oct17120013200
95222707052
102034243200
11954306030
124893200a8
132655a6802
141542503ba
15bd8c8ad5
hex79401680

2034243200 has 96 divisors (see below), whose sum is σ = 5482149120. Its totient is φ = 739712000.

The previous prime is 2034243179. The next prime is 2034243209. The reversal of 2034243200 is 23424302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2034243209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6305 + ... + 64095.

It is an arithmetic number, because the mean of its divisors is an integer number (57105720).

Almost surely, 22034243200 is an apocalyptic number.

2034243200 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 2034243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741074560).

2034243200 is an abundant number, since it is smaller than the sum of its proper divisors (3447905920).

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

2034243200 is a wasteful number, since it uses less digits than its factorization.

2034243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57826 (or 57809 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2034243200 is about 45102.5852917546. The cubic root of 2034243200 is about 1267.0710189523.

Adding to 2034243200 its reverse (23424302), we get a palindrome (2057667502).

The spelling of 2034243200 in words is "two billion, thirty-four million, two hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 128 160 176 200 220 275 320 352 400 440 550 640 704 800 880 1100 1408 1600 1760 2200 3200 3520 4400 7040 8800 17600 35200 57791 115582 231164 288955 462328 577910 635701 924656 1155820 1271402 1444775 1849312 2311640 2542804 2889550 3178505 3698624 4623280 5085608 5779100 6357010 7397248 9246560 10171216 11558200 12714020 15892525 18493120 20342432 23116400 25428040 31785050 36986240 40684864 46232800 50856080 63570100 81369728 92465600 101712160 127140200 184931200 203424320 254280400 406848640 508560800 1017121600 2034243200