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2034074112 = 2937375113
BaseRepresentation
bin111100100111101…
…1000001000000000
312020202110200010020
41321033120020000
513131210332422
6533501133440
7101256226140
oct17117301000
95222420106
102034074112
119541aaa94
1248925a280
13265547865
14154208920
15bd89395c
hex793d8200

2034074112 has 160 divisors (see below), whose sum is σ = 6361652352. Its totient is φ = 565346304.

The previous prime is 2034074099. The next prime is 2034074113. The reversal of 2034074112 is 2114704302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2034074113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395268 + ... + 400380.

Almost surely, 22034074112 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 2034074112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3180826176).

2034074112 is an abundant number, since it is smaller than the sum of its proper divisors (4327578240).

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

2034074112 is an equidigital number, since it uses as much as digits as its factorization.

2034074112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5178 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2034074112 is about 45100.7107704524. The cubic root of 2034074112 is about 1267.0359113111.

Adding to 2034074112 its reverse (2114704302), we get a palindrome (4148778414).

The spelling of 2034074112 in words is "two billion, thirty-four million, seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 296 336 384 444 448 512 518 592 672 768 777 888 896 1036 1184 1344 1536 1554 1776 1792 2072 2368 2688 3108 3552 3584 4144 4736 5113 5376 6216 7104 8288 9472 10226 10752 12432 14208 15339 16576 18944 20452 24864 28416 30678 33152 35791 40904 49728 56832 61356 66304 71582 81808 99456 107373 122712 132608 143164 163616 189181 198912 214746 245424 286328 327232 378362 397824 429492 490848 567543 572656 654464 756724 858984 981696 1135086 1145312 1308928 1324267 1513448 1717968 1963392 2270172 2290624 2617856 2648534 3026896 3435936 3926784 3972801 4540344 4581248 5297068 6053792 6871872 7853568 7945602 9080688 9162496 10594136 12107584 13743744 15891204 18161376 18324992 21188272 24215168 27487488 31782408 36322752 42376544 48430336 54974976 63564816 72645504 84753088 96860672 127129632 145291008 169506176 254259264 290582016 339012352 508518528 678024704 1017037056 2034074112