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1064340540 = 223358323747
BaseRepresentation
bin111111011100001…
…000110000111100
32202011202002202000
4333130020300330
54134432344130
6253340302300
735242513434
oct7734106074
92664662660
101064340540
114a687988a
12258541990
1313c676a03
14a14d92c4
1563690260
hex3f708c3c

1064340540 has 96 divisors (see below), whose sum is σ = 3351317760. Its totient is φ = 280392768.

The previous prime is 1064340527. The next prime is 1064340593. The reversal of 1064340540 is 450434601.

1064340540 is a `hidden beast` number, since 10 + 643 + 4 + 0 + 5 + 4 + 0 = 666.

It is a super-2 number, since 2×10643405402 = 2265641570174983200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 32947 + ... + 56693.

It is an arithmetic number, because the mean of its divisors is an integer number (34909560).

Almost surely, 21064340540 is an apocalyptic number.

1064340540 is a gapful number since it is divisible by the number (10) 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 1064340540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675658880).

1064340540 is an abundant number, since it is smaller than the sum of its proper divisors (2286977220).

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

1064340540 is a wasteful number, since it uses less digits than its factorization.

1064340540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23848 (or 23840 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1064340540 is about 32624.2324047632. The cubic root of 1064340540 is about 1021.0026473052.

The spelling of 1064340540 in words is "one billion, sixty-four million, three hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 83 90 108 135 166 180 249 270 332 415 498 540 747 830 996 1245 1494 1660 2241 2490 2988 3735 4482 4980 7470 8964 11205 14940 22410 23747 44820 47494 71241 94988 118735 142482 213723 237470 284964 356205 427446 474940 641169 712410 854892 1068615 1282338 1424820 1971001 2137230 2564676 3205845 3942002 4274460 5913003 6411690 7884004 9855005 11826006 12823380 17739009 19710010 23652012 29565015 35478018 39420020 53217027 59130030 70956036 88695045 106434054 118260060 177390090 212868108 266085135 354780180 532170270 1064340540