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3361388900 = 2252313792861
BaseRepresentation
bin1100100001011010…
…1011100101100100
322200021001020201012
43020112223211210
523341003421100
61313314121352
7146204222432
oct31026534544
98607036635
103361388900
111475464261
12799880258
1341752751c
1423c5d9d52
1514a17c135
hexc85ab964

3361388900 has 72 divisors (see below), whose sum is σ = 7552016640. Its totient is φ = 1297296000.

The previous prime is 3361388837. The next prime is 3361388923. The reversal of 3361388900 is 98831633.

It is a super-2 number, since 2×33613889002 = 22597870674086420000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1173470 + ... + 1176330.

It is an arithmetic number, because the mean of its divisors is an integer number (104889120).

Almost surely, 23361388900 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 3361388900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3776008320).

3361388900 is an abundant number, since it is smaller than the sum of its proper divisors (4190627740).

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

3361388900 is a wasteful number, since it uses less digits than its factorization.

3361388900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3278 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 3361388900 is about 57977.4861476418. The cubic root of 3361388900 is about 1497.9808239123.

The spelling of 3361388900 in words is "three billion, three hundred sixty-one million, three hundred eighty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 379 620 758 775 1516 1550 1895 2861 3100 3790 5722 7580 9475 11444 11749 14305 18950 23498 28610 37900 46996 57220 58745 71525 88691 117490 143050 177382 234980 286100 293725 354764 443455 587450 886910 1084319 1174900 1773820 2168638 2217275 4337276 4434550 5421595 8869100 10843190 21686380 27107975 33613889 54215950 67227778 108431900 134455556 168069445 336138890 672277780 840347225 1680694450 3361388900