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349785420 = 223537157561
BaseRepresentation
bin10100110110010…
…100110101001100
3220101011221101120
4110312110311030
51204021113140
654413040540
711445061365
oct2466246514
9811157346
10349785420
1116a498a66
1299186150
135760c62a
1434652b6c
1520a951d0
hex14d94d4c

349785420 has 48 divisors (see below), whose sum is σ = 1005875808. Its totient is φ = 90754560.

The previous prime is 349785419. The next prime is 349785427. The reversal of 349785420 is 24587943.

It is not an unprimeable number, because it can be changed into a prime (349785427) 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, 76561 + ... + 81000.

It is an arithmetic number, because the mean of its divisors is an integer number (20955746).

Almost surely, 2349785420 is an apocalyptic number.

349785420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349785420 is an abundant number, since it is smaller than the sum of its proper divisors (656090388).

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

349785420 is a wasteful number, since it uses less digits than its factorization.

349785420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157610 (or 157608 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 349785420 is about 18702.5511628761. The cubic root of 349785420 is about 704.5858238250.

The spelling of 349785420 in words is "three hundred forty-nine million, seven hundred eighty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 157561 315122 472683 630244 787805 945366 1575610 1890732 2363415 3151220 4726830 5829757 9453660 11659514 17489271 23319028 29148785 34978542 58297570 69957084 87446355 116595140 174892710 349785420