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64329540 = 223511293361
BaseRepresentation
bin1111010101100…
…1011101000100
311111001021112120
43311121131010
5112432021130
610214445540
71410535452
oct365313504
9144037476
1064329540
1133348810
12196638b0
1310434822
1487879d2
1559aa910
hex3d59744

64329540 has 96 divisors (see below), whose sum is σ = 203333760. Its totient is φ = 15052800.

The previous prime is 64329539. The next prime is 64329541. The reversal of 64329540 is 4592346.

It is an interprime number because it is at equal distance from previous prime (64329539) and next prime (64329541).

It is a super-2 number, since 2×643295402 = 8276579433223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (64329541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17460 + ... + 20820.

It is an arithmetic number, because the mean of its divisors is an integer number (2118060).

Almost surely, 264329540 is an apocalyptic number.

64329540 is a gapful number since it is divisible by the number (60) 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 64329540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101666880).

64329540 is an abundant number, since it is smaller than the sum of its proper divisors (139004220).

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

64329540 is a wasteful number, since it uses less digits than its factorization.

64329540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3411 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 64329540 is about 8020.5698051946. The cubic root of 64329540 is about 400.6853666773.

The spelling of 64329540 in words is "sixty-four million, three hundred twenty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 3190 3361 3828 4785 6380 6722 9570 10083 13444 16805 19140 20166 33610 36971 40332 50415 67220 73942 97469 100830 110913 147884 184855 194938 201660 221826 292407 369710 389876 443652 487345 554565 584814 739420 974690 1072159 1109130 1169628 1462035 1949380 2144318 2218260 2924070 3216477 4288636 5360795 5848140 6432954 10721590 12865908 16082385 21443180 32164770 64329540