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18946434 = 23132359179
BaseRepresentation
bin100100001000…
…1100110000010
31022122120121210
41020101212002
514322241214
61514030550
7320020263
oct110214602
938576553
1018946434
11a770811
126418456
133c04a10
14273296a
1519e3b59
hex1211982

18946434 has 64 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 5451072.

The previous prime is 18946427. The next prime is 18946451. The reversal of 18946434 is 43464981.

It is a happy number.

It is a super-2 number, since 2×189464342 = 717934722632712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 18946392 and 18946401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105757 + ... + 105935.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 218946434 is an apocalyptic number.

18946434 is the 2327-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18946434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

18946434 is an abundant number, since it is smaller than the sum of its proper divisors (24599166).

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

18946434 is a wasteful number, since it uses less digits than its factorization.

18946434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279.

The product of its digits is 82944, while the sum is 39.

The square root of 18946434 is about 4352.7501651255. The cubic root of 18946434 is about 266.5891646303.

The spelling of 18946434 in words is "eighteen million, nine hundred forty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 23 26 39 46 59 69 78 118 138 177 179 299 354 358 537 598 767 897 1074 1357 1534 1794 2301 2327 2714 4071 4117 4602 4654 6981 8142 8234 10561 12351 13962 17641 21122 24702 31683 35282 52923 53521 63366 105846 107042 137293 160563 242903 274586 321126 411879 485806 728709 823758 1457418 3157739 6315478 9473217 18946434