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3445440 = 26353797
BaseRepresentation
bin1101001001001011000000
320111001020220
431021023000
51340223230
6201503040
741200005
oct15111300
96431226
103445440
111a43679
1211a1a80
1393832b
146598ac
15480d10
hex3492c0

3445440 has 112 divisors (see below), whose sum is σ = 11350752. Its totient is φ = 884736.

The previous prime is 3445411. The next prime is 3445451. The reversal of 3445440 is 445443.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3445440.

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, 35472 + ... + 35568.

It is an arithmetic number, because the mean of its divisors is an integer number (101346).

Almost surely, 23445440 is an apocalyptic number.

3445440 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 3445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675376).

3445440 is an abundant number, since it is smaller than the sum of its proper divisors (7905312).

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

3445440 is a wasteful number, since it uses less digits than its factorization.

3445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 3445440 is about 1856.1896454835. The cubic root of 3445440 is about 151.0363785280.

The spelling of 3445440 in words is "three million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 97 111 120 148 160 185 192 194 222 240 291 296 320 370 388 444 480 485 555 582 592 740 776 888 960 970 1110 1164 1184 1455 1480 1552 1776 1940 2220 2328 2368 2910 2960 3104 3552 3589 3880 4440 4656 5820 5920 6208 7104 7178 7760 8880 9312 10767 11640 11840 14356 15520 17760 17945 18624 21534 23280 28712 31040 35520 35890 43068 46560 53835 57424 71780 86136 93120 107670 114848 143560 172272 215340 229696 287120 344544 430680 574240 689088 861360 1148480 1722720 3445440