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468034740 = 223358591009
BaseRepresentation
bin11011111001011…
…010010010110100
31012121200121222000
4123321122102310
51424304102430
6114235335300
714412141525
oct3371322264
91177617860
10468034740
11220214478
121108b1530
1375c72744
144623484c
152b151e60
hex1be5a4b4

468034740 has 96 divisors (see below), whose sum is σ = 1459248000. Its totient is φ = 124540416.

The previous prime is 468034717. The next prime is 468034757. The reversal of 468034740 is 47430864.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 468034695 and 468034704.

It is a congruent number.

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, 463356 + ... + 464364.

It is an arithmetic number, because the mean of its divisors is an integer number (15200500).

Almost surely, 2468034740 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 468034740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729624000).

468034740 is an abundant number, since it is smaller than the sum of its proper divisors (991213260).

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

468034740 is a wasteful number, since it uses less digits than its factorization.

468034740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 468034740 is about 21634.1105664180. The cubic root of 468034740 is about 776.4128179552.

The spelling of 468034740 in words is "four hundred sixty-eight million, thirty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 859 1009 1718 2018 2577 3027 3436 4036 4295 5045 5154 6054 7731 8590 9081 10090 10308 12108 12885 15135 15462 17180 18162 20180 23193 25770 27243 30270 30924 36324 38655 45405 46386 51540 54486 60540 77310 90810 92772 108972 115965 136215 154620 181620 231930 272430 463860 544860 866731 1733462 2600193 3466924 4333655 5200386 7800579 8667310 10400772 13000965 15601158 17334620 23401737 26001930 31202316 39002895 46803474 52003860 78005790 93606948 117008685 156011580 234017370 468034740