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3644430432 = 253193164453
BaseRepresentation
bin1101100100111001…
…1001100001100000
3100101222122020200220
43121032121201200
524430433233212
61401344443040
7156212101416
oct33116314140
910358566626
103644430432
111600205585
12858619480
13461068416
142680372b6
15164e3b38c
hexd9399860

3644430432 has 96 divisors (see below), whose sum is σ = 10395141120. Its totient is φ = 1113730560.

The previous prime is 3644430389. The next prime is 3644430469. The reversal of 3644430432 is 2340344463.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3644430393 and 3644430402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24318 + ... + 88770.

It is an arithmetic number, because the mean of its divisors is an integer number (108282720).

Almost surely, 23644430432 is an apocalyptic number.

3644430432 is a gapful number since it is divisible by the number (32) 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 3644430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5197570560).

3644430432 is an abundant number, since it is smaller than the sum of its proper divisors (6750710688).

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

3644430432 is a wasteful number, since it uses less digits than its factorization.

3644430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64516 (or 64508 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

The square root of 3644430432 is about 60369.1181979661. The cubic root of 3644430432 is about 1538.8981875387.

Adding to 3644430432 its reverse (2340344463), we get a palindrome (5984774895).

The spelling of 3644430432 in words is "three billion, six hundred forty-four million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 32 38 48 57 62 76 93 96 114 124 152 186 228 248 304 372 456 496 589 608 744 912 992 1178 1488 1767 1824 2356 2976 3534 4712 7068 9424 14136 18848 28272 56544 64453 128906 193359 257812 386718 515624 773436 1031248 1224607 1546872 1998043 2062496 2449214 3093744 3673821 3996086 4898428 5994129 6187488 7347642 7992172 9796856 11988258 14695284 15984344 19593712 23976516 29390568 31968688 37962817 39187424 47953032 58781136 63937376 75925634 95906064 113888451 117562272 151851268 191812128 227776902 303702536 455553804 607405072 911107608 1214810144 1822215216 3644430432