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468034040 = 23519161261
BaseRepresentation
bin11011111001011…
…010000111111000
31012121200121000002
4123321122013320
51424304042130
6114235332132
714412136505
oct3371320770
91177617002
10468034040
112202139a1
121108b1048
1375c72326
14462344ac
152b151b45
hex1be5a1f8

468034040 has 32 divisors (see below), whose sum is σ = 1058607360. Its totient is φ = 186230400.

The previous prime is 468034003. The next prime is 468034057. The reversal of 468034040 is 40430864.

It is a junction number, because it is equal to n+sod(n) for n = 468033994 and 468034012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22991 + ... + 38270.

It is an arithmetic number, because the mean of its divisors is an integer number (33081480).

Almost surely, 2468034040 is an apocalyptic number.

468034040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468034040 is an abundant number, since it is smaller than the sum of its proper divisors (590573320).

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

468034040 is a wasteful number, since it uses less digits than its factorization.

468034040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61463 (or 61459 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 468034040 is about 21634.0943882567. The cubic root of 468034040 is about 776.4124308833.

The spelling of 468034040 in words is "four hundred sixty-eight million, thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 191 382 764 955 1528 1910 3820 7640 61261 122522 245044 306305 490088 612610 1225220 2450440 11700851 23401702 46803404 58504255 93606808 117008510 234017020 468034040