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2034769428 = 22322353199233
BaseRepresentation
bin111100101001000…
…0001111000010100
312020210202222220200
41321102001320110
513131400110203
6533524100500
7101265153246
oct17122017024
95223688820
102034769428
1195463542a
12489534730
1326572c1a3
1415434a096
15bd97e9a3
hex79481e14

2034769428 has 144 divisors (see below), whose sum is σ = 5519404800. Its totient is φ = 630609408.

The previous prime is 2034769411. The next prime is 2034769439. The reversal of 2034769428 is 8249674302.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8732800 + ... + 8733032.

It is an arithmetic number, because the mean of its divisors is an integer number (38329200).

Almost surely, 22034769428 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 2034769428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759702400).

2034769428 is an abundant number, since it is smaller than the sum of its proper divisors (3484635372).

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

2034769428 is a wasteful number, since it uses less digits than its factorization.

2034769428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2034769428 is about 45108.4185934289. The cubic root of 2034769428 is about 1267.1802669127.

The spelling of 2034769428 in words is "two billion, thirty-four million, seven hundred sixty-nine thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 53 69 92 106 138 159 199 207 212 233 276 318 398 414 466 477 597 636 699 796 828 932 954 1194 1219 1398 1791 1908 2097 2388 2438 2796 3582 3657 4194 4577 4876 5359 7164 7314 8388 9154 10547 10718 10971 12349 13731 14628 16077 18308 21094 21436 21942 24698 27462 31641 32154 37047 41193 42188 43884 46367 48231 49396 54924 63282 64308 74094 82386 92734 94923 96462 111141 126564 139101 148188 164772 185468 189846 192924 222282 242581 278202 284027 379692 417303 444564 485162 556404 568054 727743 834606 852081 970324 1066441 1136108 1455486 1669212 1704162 2132882 2183229 2457451 2556243 2910972 3199323 3408324 4265764 4366458 4914902 5112486 6398646 7372353 8732916 9597969 9829804 10224972 12797292 14744706 19195938 22117059 29489412 38391876 44234118 56521373 88468236 113042746 169564119 226085492 339128238 508692357 678256476 1017384714 2034769428