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3420457540 = 2253119312857
BaseRepresentation
bin1100101111100000…
…0000101001000100
322211101012020122121
43023320000221010
524001114120130
61323224135324
7150522260263
oct31370005104
98741166577
103420457540
1114a5839415
127b5607544
13426839596
142463b45da
15150448d7a
hexcbe00a44

3420457540 has 48 divisors (see below), whose sum is σ = 7421105664. Its totient is φ = 1322899200.

The previous prime is 3420457507. The next prime is 3420457541. The reversal of 3420457540 is 457540243.

It is a junction number, because it is equal to n+sod(n) for n = 3420457496 and 3420457505.

It is not an unprimeable number, because it can be changed into a prime (3420457541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1195792 + ... + 1198648.

It is an arithmetic number, because the mean of its divisors is an integer number (154606368).

Almost surely, 23420457540 is an apocalyptic number.

It is an amenable number.

3420457540 is an abundant number, since it is smaller than the sum of its proper divisors (4000648124).

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

3420457540 is a wasteful number, since it uses less digits than its factorization.

3420457540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828 (or 4826 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 34.

The square root of 3420457540 is about 58484.6778224861. The cubic root of 3420457540 is about 1506.7044393859.

Adding to 3420457540 its reverse (457540243), we get a palindrome (3877997783).

The spelling of 3420457540 in words is "three billion, four hundred twenty million, four hundred fifty-seven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1931 2857 3862 5714 7724 9655 11428 14285 19310 28570 38620 57140 59861 88567 119722 177134 239444 299305 354268 442835 598610 885670 1197220 1771340 5516867 11033734 22067468 27584335 55168670 110337340 171022877 342045754 684091508 855114385 1710228770 3420457540