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2734200408 = 233433737103
BaseRepresentation
bin1010001011111000…
…1001011001011000
321001112212202211210
42202332021121120
521044423403113
61131151223120
7124520214522
oct24276113130
97045782753
102734200408
111183426265
12643817aa0
133475cc584
141bd1b6a12
1511008d6c3
hexa2f89658

2734200408 has 64 divisors (see below), whose sum is σ = 7014205440. Its totient is φ = 887693184.

The previous prime is 2734200397. The next prime is 2734200409. The reversal of 2734200408 is 8040024372.

It is a super-2 number, since 2×27342004082 = 14951703742214732928, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2734200409) 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, 381385 + ... + 388487.

It is an arithmetic number, because the mean of its divisors is an integer number (109596960).

Almost surely, 22734200408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2734200408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507102720).

2734200408 is an abundant number, since it is smaller than the sum of its proper divisors (4280005032).

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

2734200408 is a wasteful number, since it uses less digits than its factorization.

2734200408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7528 (or 7524 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2734200408 is about 52289.5822129036. The cubic root of 2734200408 is about 1398.3314148136.

The spelling of 2734200408 in words is "two billion, seven hundred thirty-four million, two hundred thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 373 516 746 1032 1119 1492 2238 2984 4476 7103 8952 14206 16039 21309 28412 32078 42618 48117 56824 64156 85236 96234 128312 170472 192468 305429 384936 610858 916287 1221716 1832574 2443432 2649419 3665148 5298838 7330296 7948257 10597676 15896514 21195352 31793028 63586056 113925017 227850034 341775051 455700068 683550102 911400136 1367100204 2734200408