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2034333120 = 26355413917
BaseRepresentation
bin111100101000001…
…0111010111000000
312020202221211102010
41321100113113000
513131242124440
6533510452520
7101261355231
oct17120272700
95222854363
102034333120
11954367646
12489364140
13265608711
14154275088
15bd8e5580
hex794175c0

2034333120 has 112 divisors (see below), whose sum is σ = 6472598688. Its totient is φ = 541347840.

The previous prime is 2034333107. The next prime is 2034333131. The reversal of 2034333120 is 213334302.

It is a super-2 number, since 2×20343331202 = 8277022486257868800, which contains 22 as substring.

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, 517402 + ... + 521318.

Almost surely, 22034333120 is an apocalyptic number.

2034333120 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 2034333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236299344).

2034333120 is an abundant number, since it is smaller than the sum of its proper divisors (4438265568).

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

2034333120 is a wasteful number, since it uses less digits than its factorization.

2034333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 2034333120 is about 45103.5821193838. The cubic root of 2034333120 is about 1267.0896881962.

Adding to 2034333120 its reverse (213334302), we get a palindrome (2247667422).

The spelling of 2034333120 in words is "two billion, thirty-four million, three hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 541 960 1082 1623 2164 2705 3246 3917 4328 5410 6492 7834 8115 8656 10820 11751 12984 15668 16230 17312 19585 21640 23502 25968 31336 32460 34624 39170 43280 47004 51936 58755 62672 64920 78340 86560 94008 103872 117510 125344 129840 156680 173120 188016 235020 250688 259680 313360 376032 470040 519360 626720 752064 940080 1253440 1880160 2119097 3760320 4238194 6357291 8476388 10595485 12714582 16952776 21190970 25429164 31786455 33905552 42381940 50858328 63572910 67811104 84763880 101716656 127145820 135622208 169527760 203433312 254291640 339055520 406866624 508583280 678111040 1017166560 2034333120