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3042974790 = 23553074079
BaseRepresentation
bin1011010101100000…
…0001110001000110
321212001220010200000
42311120001301012
522213000143130
61221541302130
7135256600422
oct26530016106
97761803600
103042974790
111321752aa9
1270b104946
133965800cb
1420c1d1b82
1512c232260
hexb5601c46

3042974790 has 96 divisors (see below), whose sum is σ = 8233505280. Its totient is φ = 808618464.

The previous prime is 3042974783. The next prime is 3042974797. The reversal of 3042974790 is 974792403.

It is an interprime number because it is at equal distance from previous prime (3042974783) and next prime (3042974797).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042974797) by changing a digit.

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, 743971 + ... + 748049.

It is an arithmetic number, because the mean of its divisors is an integer number (85765680).

Almost surely, 23042974790 is an apocalyptic number.

3042974790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3042974790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116752640).

3042974790 is an abundant number, since it is smaller than the sum of its proper divisors (5190530490).

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

3042974790 is a wasteful number, since it uses less digits than its factorization.

3042974790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3042974790 is about 55163.1651557450. The cubic root of 3042974790 is about 1449.1036537092.

The spelling of 3042974790 in words is "three billion, forty-two million, nine hundred seventy-four thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 307 405 486 614 810 921 1215 1535 1842 2430 2763 3070 4079 4605 5526 8158 8289 9210 12237 13815 16578 20395 24474 24867 27630 36711 40790 41445 49734 61185 73422 74601 82890 110133 122370 124335 149202 183555 220266 248670 330399 367110 373005 550665 660798 746010 991197 1101330 1252253 1651995 1982394 2504506 3303990 3756759 4955985 6261265 7513518 9911970 11270277 12522530 18783795 22540554 33810831 37567590 56351385 67621662 101432493 112702770 169054155 202864986 304297479 338108310 507162465 608594958 1014324930 1521487395 3042974790