Search a number
-
+
3193840 = 245133783
BaseRepresentation
bin1100001011101111110000
320000021010101
430023233300
51304200330
6152242144
736101326
oct14135760
96007111
103193840
111891641
1210a0354
1387a960
145d1d16
154314ca
hex30bbf0

3193840 has 80 divisors (see below), whose sum is σ = 8311968. Its totient is φ = 1133568.

The previous prime is 3193831. The next prime is 3193871. The reversal of 3193840 is 483913.

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

It is a super-2 number, since 2×31938402 = 20401227891200, which contains 22 as substring.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3193799 and 3193808.

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, 38439 + ... + 38521.

Almost surely, 23193840 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 3193840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155984).

3193840 is an abundant number, since it is smaller than the sum of its proper divisors (5118128).

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

3193840 is a wasteful number, since it uses less digits than its factorization.

3193840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 3193840 is about 1787.1317802557. The cubic root of 3193840 is about 147.2666423982.

The spelling of 3193840 in words is "three million, one hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 80 83 104 130 148 166 185 208 260 296 332 370 415 481 520 592 664 740 830 962 1040 1079 1328 1480 1660 1924 2158 2405 2960 3071 3320 3848 4316 4810 5395 6142 6640 7696 8632 9620 10790 12284 15355 17264 19240 21580 24568 30710 38480 39923 43160 49136 61420 79846 86320 122840 159692 199615 245680 319384 399230 638768 798460 1596920 3193840