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3362394640 = 2451117224759
BaseRepresentation
bin1100100001101010…
…0001001000010000
322200022221100022211
43020122201020100
523341233112030
61313351441504
7146215611553
oct31032411020
98608840284
103362394640
111475a90950
1279a086294
134177ba237
1423c7bc69a
1514a2ca12a
hexc86a1210

3362394640 has 80 divisors (see below), whose sum is σ = 9029957760. Its totient is φ = 1150760960.

The previous prime is 3362394593. The next prime is 3362394653. The reversal of 3362394640 is 464932633.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33623946402 = 22611395430201459200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 3362394593 and 3362394602.

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, 97420 + ... + 127339.

It is an arithmetic number, because the mean of its divisors is an integer number (112874472).

Almost surely, 23362394640 is an apocalyptic number.

It is an amenable number.

3362394640 is an abundant number, since it is smaller than the sum of its proper divisors (5667563120).

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

3362394640 is a wasteful number, since it uses less digits than its factorization.

3362394640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224800 (or 224794 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 40.

The square root of 3362394640 is about 57986.1590381705. The cubic root of 3362394640 is about 1498.1302094833.

The spelling of 3362394640 in words is "three billion, three hundred sixty-two million, three hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2992 3740 7480 14960 224759 449518 899036 1123795 1798072 2247590 2472349 3596144 3820903 4495180 4944698 7641806 8990360 9889396 12361745 15283612 17980720 19104515 19778792 24723490 30567224 38209030 39557584 42029933 49446980 61134448 76418060 84059866 98893960 152836120 168119732 197787920 210149665 305672240 336239464 420299330 672478928 840598660 1681197320 3362394640