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2034771452 = 22722341101109
BaseRepresentation
bin111100101001000…
…0010010111111100
312020210210002200122
41321102002113330
513131400141302
6533524114112
7101265162200
oct17122022774
95223702618
102034771452
119546369aa
12489535938
1326573009c
1415434ab00
15bd9803a2
hex794825fc

2034771452 has 144 divisors (see below), whose sum is σ = 4512594240. Its totient is φ = 798336000.

The previous prime is 2034771437. The next prime is 2034771461. The reversal of 2034771452 is 2541774302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18667574 + ... + 18667682.

It is an arithmetic number, because the mean of its divisors is an integer number (31337460).

Almost surely, 22034771452 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 2034771452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256297120).

2034771452 is an abundant number, since it is smaller than the sum of its proper divisors (2477822788).

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

2034771452 is a wasteful number, since it uses less digits than its factorization.

2034771452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 2034771452 is about 45108.4410282599. The cubic root of 2034771452 is about 1267.1806870704.

The spelling of 2034771452 in words is "two billion, thirty-four million, seven hundred seventy-one thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 23 28 41 46 49 82 92 98 101 109 161 164 196 202 218 287 322 404 436 574 644 707 763 943 1127 1148 1414 1526 1886 2009 2254 2323 2507 2828 3052 3772 4018 4141 4469 4508 4646 4949 5014 5341 6601 8036 8282 8938 9292 9898 10028 10682 11009 13202 16261 16564 17549 17876 19796 21364 22018 26404 28987 31283 32522 35098 44036 46207 57974 62566 65044 70196 77063 92414 95243 102787 113827 115948 122843 125132 154126 184828 190486 202909 205574 218981 227654 245686 253207 308252 380972 405818 411148 437962 451369 455308 491372 506414 539441 666701 719509 811636 875924 902738 1012828 1078882 1333402 1439018 1772449 1805476 2157764 2666804 2878036 3159583 3544898 4666907 5036563 6319166 7089796 9333814 10073126 10381487 12407143 12638332 18667628 20146252 20762974 22117081 24814286 41525948 44234162 49628572 72670409 88468324 145340818 290681636 508692863 1017385726 2034771452