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3477138540 = 2235419138311
BaseRepresentation
bin1100111101000000…
…1110110001101100
322222022211221100220
43033100032301230
524110121413130
61333011051340
7152111122101
oct31720166154
98868757326
103477138540
111524832717
128105a0b50
134354c3935
1424db2aaa8
151553e3410
hexcf40ec6c

3477138540 has 48 divisors (see below), whose sum is σ = 9759294720. Its totient is φ = 925017280.

The previous prime is 3477138499. The next prime is 3477138559. The reversal of 3477138540 is 458317743.

3477138540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3477138492 and 3477138501.

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, 44016 + ... + 94295.

It is an arithmetic number, because the mean of its divisors is an integer number (203318640).

Almost surely, 23477138540 is an apocalyptic number.

3477138540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3477138540 is an abundant number, since it is smaller than the sum of its proper divisors (6282156180).

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

3477138540 is a wasteful number, since it uses less digits than its factorization.

3477138540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138742 (or 138740 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 3477138540 is about 58967.2666824570. The cubic root of 3477138540 is about 1514.9815070339.

The spelling of 3477138540 in words is "three billion, four hundred seventy-seven million, one hundred thirty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 419 838 1257 1676 2095 2514 4190 5028 6285 8380 12570 25140 138311 276622 414933 553244 691555 829866 1383110 1659732 2074665 2766220 4149330 8298660 57952309 115904618 173856927 231809236 289761545 347713854 579523090 695427708 869284635 1159046180 1738569270 3477138540