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434866992 = 24374131567
BaseRepresentation
bin11001111010111…
…000101100110000
31010022021112100220
4121322320230300
51342311220432
6111052413040
713530210540
oct3172705460
91108245326
10434866992
1120352000a
12101777180
136c12b961
1441a7d320
152829e72c
hex19eb8b30

434866992 has 80 divisors (see below), whose sum is σ = 1315249152. Its totient is φ = 121213440.

The previous prime is 434866981. The next prime is 434867011. The reversal of 434866992 is 299668434.

It is a super-2 number, since 2×4348669922 = 378218601462256128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2008 + ... + 29559.

Almost surely, 2434866992 is an apocalyptic number.

434866992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434866992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657624576).

434866992 is an abundant number, since it is smaller than the sum of its proper divisors (880382160).

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

434866992 is a wasteful number, since it uses less digits than its factorization.

434866992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31626 (or 31620 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The square root of 434866992 is about 20853.4647480940. The cubic root of 434866992 is about 757.6212512721.

The spelling of 434866992 in words is "four hundred thirty-four million, eight hundred sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 328 336 492 574 656 861 984 1148 1722 1968 2296 3444 4592 6888 13776 31567 63134 94701 126268 189402 220969 252536 378804 441938 505072 662907 757608 883876 1294247 1325814 1515216 1767752 2588494 2651628 3535504 3882741 5176988 5303256 7765482 9059729 10353976 10606512 15530964 18119458 20707952 27179187 31061928 36238916 54358374 62123856 72477832 108716748 144955664 217433496 434866992