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3687031404 = 2232719973523
BaseRepresentation
bin1101101111000011…
…1010001001101100
3100111221210121020200
43123300322021230
530022340001104
61405505513500
7160240151460
oct33360721154
910457717220
103687031404
1116222622a1
1286a942890
13469b32ab4
1426d9664a0
15168a53b39
hexdbc3a26c

3687031404 has 72 divisors (see below), whose sum is σ = 10705094400. Its totient is φ = 1048129632.

The previous prime is 3687031333. The next prime is 3687031409. The reversal of 3687031404 is 4041307863.

It is a super-2 number, since 2×36870314042 = 27188401148164422432, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3687031409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13387 + ... + 86909.

Almost surely, 23687031404 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 3687031404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352547200).

3687031404 is an abundant number, since it is smaller than the sum of its proper divisors (7018062996).

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

3687031404 is a wasteful number, since it uses less digits than its factorization.

3687031404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73739 (or 73734 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3687031404 is about 60720.9305264667. The cubic root of 3687031404 is about 1544.8712067836.

The spelling of 3687031404 in words is "three billion, six hundred eighty-seven million, thirty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 199 252 398 597 796 1194 1393 1791 2388 2786 3582 4179 5572 7164 8358 12537 16716 25074 50148 73523 147046 220569 294092 441138 514661 661707 882276 1029322 1323414 1543983 2058644 2646828 3087966 4631949 6175932 9263898 14631077 18527796 29262154 43893231 58524308 87786462 102417539 131679693 175572924 204835078 263359386 307252617 409670156 526718772 614505234 921757851 1229010468 1843515702 3687031404