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30640464 = 2433193733
BaseRepresentation
bin111010011100…
…0100101010000
32010122200211000
41310320211100
530320443324
63012422000
7521303541
oct164704520
963580730
1030640464
11163286a8
12a317900
13646a66a
1440d84c8
152a539c9
hex1d38950

30640464 has 80 divisors (see below), whose sum is σ = 92603200. Its totient is φ = 9673344.

The previous prime is 30640453. The next prime is 30640469. The reversal of 30640464 is 46404603.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30640469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6342 + ... + 10074.

It is an arithmetic number, because the mean of its divisors is an integer number (1157540).

Almost surely, 230640464 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 30640464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46301600).

30640464 is an abundant number, since it is smaller than the sum of its proper divisors (61962736).

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

30640464 is a wasteful number, since it uses less digits than its factorization.

30640464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 30640464 is about 5535.3829135842. The cubic root of 30640464 is about 312.9188887057.

It can be divided in two parts, 3064046 and 4, that added together give a triangular number (3064050 = T2475).

The spelling of 30640464 in words is "thirty million, six hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 3733 4104 7466 8208 11199 14932 22398 29864 33597 44796 59728 67194 70927 89592 100791 134388 141854 179184 201582 212781 268776 283708 403164 425562 537552 567416 638343 806328 851124 1134832 1276686 1612656 1702248 1915029 2553372 3404496 3830058 5106744 7660116 10213488 15320232 30640464