Search a number
-
+
3377226840 = 2335138326083
BaseRepresentation
bin1100100101001100…
…0110010001011000
322201100211220021120
43021103012101120
523404032224330
61315041405240
7146455645251
oct31123062130
98640756246
103377226840
1114833a1569
127a3039820
1341a8b13a0
1424075db28
1514b759c10
hexc94c6458

3377226840 has 128 divisors (see below), whose sum is σ = 11042922240. Its totient is φ = 821270016.

The previous prime is 3377226793. The next prime is 3377226859. The reversal of 3377226840 is 486227733.

It is a super-2 number, since 2×33772268402 = 22811322257632771200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3377226792 and 3377226801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116439 + ... + 142521.

It is an arithmetic number, because the mean of its divisors is an integer number (86272830).

Almost surely, 23377226840 is an apocalyptic number.

3377226840 is a gapful number since it is divisible by the number (30) 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 3377226840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521461120).

3377226840 is an abundant number, since it is smaller than the sum of its proper divisors (7665695400).

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

3377226840 is a wasteful number, since it uses less digits than its factorization.

3377226840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26193 (or 26189 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 3377226840 is about 58113.9126199570. The cubic root of 3377226840 is about 1500.3298296918.

The spelling of 3377226840 in words is "three billion, three hundred seventy-seven million, two hundred twenty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 83 104 120 130 156 166 195 249 260 312 332 390 415 498 520 664 780 830 996 1079 1245 1560 1660 1992 2158 2490 3237 3320 4316 4980 5395 6474 8632 9960 10790 12948 16185 21580 25896 26083 32370 43160 52166 64740 78249 104332 129480 130415 156498 208664 260830 312996 339079 391245 521660 625992 678158 782490 1017237 1043320 1356316 1564980 1695395 2034474 2164889 2712632 3129960 3390790 4068948 4329778 5086185 6494667 6781580 8137896 8659556 10172370 10824445 12989334 13563160 17319112 20344740 21648890 25978668 28143557 32473335 40689480 43297780 51957336 56287114 64946670 84430671 86595560 112574228 129893340 140717785 168861342 225148456 259786680 281435570 337722684 422153355 562871140 675445368 844306710 1125742280 1688613420 3377226840