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3420402240 = 26353562919
BaseRepresentation
bin1100101111011111…
…0011001001000000
322211101002102210110
43023313303021000
524001110332430
61323223031320
7150521640123
oct31367631100
98741072713
103420402240
1114a5800912
127b559b540
1342681a368
1424639c3ba
151504377b0
hexcbdf3240

3420402240 has 56 divisors (see below), whose sum is σ = 10859780160. Its totient is φ = 912107008.

The previous prime is 3420402239. The next prime is 3420402247. The reversal of 3420402240 is 422040243.

3420402240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3420402247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1780500 + ... + 1782419.

Almost surely, 23420402240 is an apocalyptic number.

3420402240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3420402240 is an abundant number, since it is smaller than the sum of its proper divisors (7439377920).

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

3420402240 is a wasteful number, since it uses less digits than its factorization.

3420402240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562939 (or 3562929 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 3420402240 is about 58484.2050471749. The cubic root of 3420402240 is about 1506.6963194971.

Adding to 3420402240 its reverse (422040243), we get a palindrome (3842442483).

The spelling of 3420402240 in words is "three billion, four hundred twenty million, four hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 3562919 7125838 10688757 14251676 17814595 21377514 28503352 35629190 42755028 53443785 57006704 71258380 85510056 106887570 114013408 142516760 171020112 213775140 228026816 285033520 342040224 427550280 570067040 684080448 855100560 1140134080 1710201120 3420402240